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Finding the Fourth Proportional to 10,703.92, 16,031.40 and 9,007.60

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Solution

The fourth proportional to 10,703.92, 16,031.40 and 9,007.60 is: 13,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.92 : 16,031.40 = 9,007.60 : x
  2. Step 2: Convert to fraction form
    10,703.92/16,031.40 = 9,007.60/x
  3. Step 3: Cross multiply
    10,703.92x = 16,031.40 × 9,007.60
  4. Step 4: Simplify right side
    10,703.92x = 144,404,438.64
  5. Step 5: Solve for x
    x = 144,404,438.64/10,703.92
  6. Step 6: Final answer
    x = 13,490.80

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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.