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Finding the Fourth Proportional to 31,472.51, 47,208.86 and 12,752.87

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Solution

The fourth proportional to 31,472.51, 47,208.86 and 12,752.87 is: 19,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.51 : 47,208.86 = 12,752.87 : x
  2. Step 2: Convert to fraction form
    31,472.51/47,208.86 = 12,752.87/x
  3. Step 3: Cross multiply
    31,472.51x = 47,208.86 × 12,752.87
  4. Step 4: Simplify right side
    31,472.51x = 602,048,390.66
  5. Step 5: Solve for x
    x = 602,048,390.66/31,472.51
  6. Step 6: Final answer
    x = 19,129.34

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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.