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Finding the Fourth Proportional to 10,562, 14,562.30 and 6,778.49

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Solution

The fourth proportional to 10,562, 14,562.30 and 6,778.49 is: 9,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562 : 14,562.30 = 6,778.49 : x
  2. Step 2: Convert to fraction form
    10,562/14,562.30 = 6,778.49/x
  3. Step 3: Cross multiply
    10,562x = 14,562.30 × 6,778.49
  4. Step 4: Simplify right side
    10,562x = 98,710,404.93
  5. Step 5: Solve for x
    x = 98,710,404.93/10,562
  6. Step 6: Final answer
    x = 9,345.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.