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Finding the Fourth Proportional to 9,904.40, 14,813.40 and 8,349.20

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Solution

The fourth proportional to 9,904.40, 14,813.40 and 8,349.20 is: 12,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.40 : 14,813.40 = 8,349.20 : x
  2. Step 2: Convert to fraction form
    9,904.40/14,813.40 = 8,349.20/x
  3. Step 3: Cross multiply
    9,904.40x = 14,813.40 × 8,349.20
  4. Step 4: Simplify right side
    9,904.40x = 123,680,039.28
  5. Step 5: Solve for x
    x = 123,680,039.28/9,904.40
  6. Step 6: Final answer
    x = 12,487.38

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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.