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Finding the Fourth Proportional to 9,768.40, 14,657.40 and 7,427.60

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Solution

The fourth proportional to 9,768.40, 14,657.40 and 7,427.60 is: 11,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.40 : 14,657.40 = 7,427.60 : x
  2. Step 2: Convert to fraction form
    9,768.40/14,657.40 = 7,427.60/x
  3. Step 3: Cross multiply
    9,768.40x = 14,657.40 × 7,427.60
  4. Step 4: Simplify right side
    9,768.40x = 108,869,304.24
  5. Step 5: Solve for x
    x = 108,869,304.24/9,768.40
  6. Step 6: Final answer
    x = 11,145.05

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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.