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Finding the Fourth Proportional to 10,385, 15,577.49 and 9,349.34

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Solution

The fourth proportional to 10,385, 15,577.49 and 9,349.34 is: 14,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385 : 15,577.49 = 9,349.34 : x
  2. Step 2: Convert to fraction form
    10,385/15,577.49 = 9,349.34/x
  3. Step 3: Cross multiply
    10,385x = 15,577.49 × 9,349.34
  4. Step 4: Simplify right side
    10,385x = 145,639,250.36
  5. Step 5: Solve for x
    x = 145,639,250.36/10,385
  6. Step 6: Final answer
    x = 14,024.00

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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.