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Finding the Fourth Proportional to 31,491, 47,242.98 and 13,023

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Solution

The fourth proportional to 31,491, 47,242.98 and 13,023 is: 19,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491 : 47,242.98 = 13,023 : x
  2. Step 2: Convert to fraction form
    31,491/47,242.98 = 13,023/x
  3. Step 3: Cross multiply
    31,491x = 47,242.98 × 13,023
  4. Step 4: Simplify right side
    31,491x = 615,245,328.54
  5. Step 5: Solve for x
    x = 615,245,328.54/31,491
  6. Step 6: Final answer
    x = 19,537.18

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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.