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Finding the Fourth Proportional to 9,771.40, 14,657.10 and 7,827.40

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Solution

The fourth proportional to 9,771.40, 14,657.10 and 7,827.40 is: 11,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.40 : 14,657.10 = 7,827.40 : x
  2. Step 2: Convert to fraction form
    9,771.40/14,657.10 = 7,827.40/x
  3. Step 3: Cross multiply
    9,771.40x = 14,657.10 × 7,827.40
  4. Step 4: Simplify right side
    9,771.40x = 114,726,984.54
  5. Step 5: Solve for x
    x = 114,726,984.54/9,771.40
  6. Step 6: Final answer
    x = 11,741.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.