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Finding the Fourth Proportional to 31,802.52, 47,703.78 and 10,742.62

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Solution

The fourth proportional to 31,802.52, 47,703.78 and 10,742.62 is: 16,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.52 : 47,703.78 = 10,742.62 : x
  2. Step 2: Convert to fraction form
    31,802.52/47,703.78 = 10,742.62/x
  3. Step 3: Cross multiply
    31,802.52x = 47,703.78 × 10,742.62
  4. Step 4: Simplify right side
    31,802.52x = 512,463,461.84
  5. Step 5: Solve for x
    x = 512,463,461.84/31,802.52
  6. Step 6: Final answer
    x = 16,113.93

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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.