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Finding the Fourth Proportional to 9,809, 14,713.50 and 2,883.40

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Solution

The fourth proportional to 9,809, 14,713.50 and 2,883.40 is: 4,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809 : 14,713.50 = 2,883.40 : x
  2. Step 2: Convert to fraction form
    9,809/14,713.50 = 2,883.40/x
  3. Step 3: Cross multiply
    9,809x = 14,713.50 × 2,883.40
  4. Step 4: Simplify right side
    9,809x = 42,424,905.90
  5. Step 5: Solve for x
    x = 42,424,905.90/9,809
  6. Step 6: Final answer
    x = 4,325.10

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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.