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Finding the Fourth Proportional to 10,798.61, 16,157.49 and 7,685.78

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Solution

The fourth proportional to 10,798.61, 16,157.49 and 7,685.78 is: 11,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.61 : 16,157.49 = 7,685.78 : x
  2. Step 2: Convert to fraction form
    10,798.61/16,157.49 = 7,685.78/x
  3. Step 3: Cross multiply
    10,798.61x = 16,157.49 × 7,685.78
  4. Step 4: Simplify right side
    10,798.61x = 124,182,832.70
  5. Step 5: Solve for x
    x = 124,182,832.70/10,798.61
  6. Step 6: Final answer
    x = 11,499.90

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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.