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Finding the Fourth Proportional to 31,014, 46,527 and 13,244.40

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Solution

The fourth proportional to 31,014, 46,527 and 13,244.40 is: 19,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014 : 46,527 = 13,244.40 : x
  2. Step 2: Convert to fraction form
    31,014/46,527 = 13,244.40/x
  3. Step 3: Cross multiply
    31,014x = 46,527 × 13,244.40
  4. Step 4: Simplify right side
    31,014x = 616,222,198.80
  5. Step 5: Solve for x
    x = 616,222,198.80/31,014
  6. Step 6: Final answer
    x = 19,869.16

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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.