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Finding the Fourth Proportional to 21,347.60, 31,978.53 and 10,641.67

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Solution

The fourth proportional to 21,347.60, 31,978.53 and 10,641.67 is: 15,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.60 : 31,978.53 = 10,641.67 : x
  2. Step 2: Convert to fraction form
    21,347.60/31,978.53 = 10,641.67/x
  3. Step 3: Cross multiply
    21,347.60x = 31,978.53 × 10,641.67
  4. Step 4: Simplify right side
    21,347.60x = 340,304,963.35
  5. Step 5: Solve for x
    x = 340,304,963.35/21,347.60
  6. Step 6: Final answer
    x = 15,941.13

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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.