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Finding the Fourth Proportional to 31,653, 47,502.82 and 15,013.08

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Solution

The fourth proportional to 31,653, 47,502.82 and 15,013.08 is: 22,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653 : 47,502.82 = 15,013.08 : x
  2. Step 2: Convert to fraction form
    31,653/47,502.82 = 15,013.08/x
  3. Step 3: Cross multiply
    31,653x = 47,502.82 × 15,013.08
  4. Step 4: Simplify right side
    31,653x = 713,163,636.89
  5. Step 5: Solve for x
    x = 713,163,636.89/31,653
  6. Step 6: Final answer
    x = 22,530.68

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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.