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Finding the Fourth Proportional to 10,398.64, 14,313.96 and 9,070.03

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Solution

The fourth proportional to 10,398.64, 14,313.96 and 9,070.03 is: 12,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.64 : 14,313.96 = 9,070.03 : x
  2. Step 2: Convert to fraction form
    10,398.64/14,313.96 = 9,070.03/x
  3. Step 3: Cross multiply
    10,398.64x = 14,313.96 × 9,070.03
  4. Step 4: Simplify right side
    10,398.64x = 129,828,046.62
  5. Step 5: Solve for x
    x = 129,828,046.62/10,398.64
  6. Step 6: Final answer
    x = 12,485.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.