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Finding the Fourth Proportional to 31,868.53, 47,802.78 and 9,681.82

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Solution

The fourth proportional to 31,868.53, 47,802.78 and 9,681.82 is: 14,522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,868.53 : 47,802.78 = 9,681.82 : x
  2. Step 2: Convert to fraction form
    31,868.53/47,802.78 = 9,681.82/x
  3. Step 3: Cross multiply
    31,868.53x = 47,802.78 × 9,681.82
  4. Step 4: Simplify right side
    31,868.53x = 462,817,911.46
  5. Step 5: Solve for x
    x = 462,817,911.46/31,868.53
  6. Step 6: Final answer
    x = 14,522.73

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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.