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Finding the Fourth Proportional to 10,505.80, 15,715.65 and 9,582.14

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Solution

The fourth proportional to 10,505.80, 15,715.65 and 9,582.14 is: 14,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.80 : 15,715.65 = 9,582.14 : x
  2. Step 2: Convert to fraction form
    10,505.80/15,715.65 = 9,582.14/x
  3. Step 3: Cross multiply
    10,505.80x = 15,715.65 × 9,582.14
  4. Step 4: Simplify right side
    10,505.80x = 150,589,442.36
  5. Step 5: Solve for x
    x = 150,589,442.36/10,505.80
  6. Step 6: Final answer
    x = 14,333.93

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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.