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Finding the Fourth Proportional to 31,423.04, 47,141.04 and 10,646

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Solution

The fourth proportional to 31,423.04, 47,141.04 and 10,646 is: 15,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,423.04 : 47,141.04 = 10,646 : x
  2. Step 2: Convert to fraction form
    31,423.04/47,141.04 = 10,646/x
  3. Step 3: Cross multiply
    31,423.04x = 47,141.04 × 10,646
  4. Step 4: Simplify right side
    31,423.04x = 501,863,511.84
  5. Step 5: Solve for x
    x = 501,863,511.84/31,423.04
  6. Step 6: Final answer
    x = 15,971.20

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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.