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Finding the Fourth Proportional to 10,582.77, 15,874.28 and 7,294.98

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Solution

The fourth proportional to 10,582.77, 15,874.28 and 7,294.98 is: 10,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.77 : 15,874.28 = 7,294.98 : x
  2. Step 2: Convert to fraction form
    10,582.77/15,874.28 = 7,294.98/x
  3. Step 3: Cross multiply
    10,582.77x = 15,874.28 × 7,294.98
  4. Step 4: Simplify right side
    10,582.77x = 115,802,475.74
  5. Step 5: Solve for x
    x = 115,802,475.74/10,582.77
  6. Step 6: Final answer
    x = 10,942.55

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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.