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Finding the Fourth Proportional to 10,463.78, 15,695.98 and 4,919.74

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Solution

The fourth proportional to 10,463.78, 15,695.98 and 4,919.74 is: 7,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.78 : 15,695.98 = 4,919.74 : x
  2. Step 2: Convert to fraction form
    10,463.78/15,695.98 = 4,919.74/x
  3. Step 3: Cross multiply
    10,463.78x = 15,695.98 × 4,919.74
  4. Step 4: Simplify right side
    10,463.78x = 77,220,089.11
  5. Step 5: Solve for x
    x = 77,220,089.11/10,463.78
  6. Step 6: Final answer
    x = 7,379.75

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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.