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Finding the Fourth Proportional to 10,666.62, 16,000.05 and 5,124.30

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Solution

The fourth proportional to 10,666.62, 16,000.05 and 5,124.30 is: 7,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.62 : 16,000.05 = 5,124.30 : x
  2. Step 2: Convert to fraction form
    10,666.62/16,000.05 = 5,124.30/x
  3. Step 3: Cross multiply
    10,666.62x = 16,000.05 × 5,124.30
  4. Step 4: Simplify right side
    10,666.62x = 81,989,056.22
  5. Step 5: Solve for x
    x = 81,989,056.22/10,666.62
  6. Step 6: Final answer
    x = 7,686.51

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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.