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Finding the Fourth Proportional to 21,658, 29,708.36 and 21,470.80

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Solution

The fourth proportional to 21,658, 29,708.36 and 21,470.80 is: 29,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658 : 29,708.36 = 21,470.80 : x
  2. Step 2: Convert to fraction form
    21,658/29,708.36 = 21,470.80/x
  3. Step 3: Cross multiply
    21,658x = 29,708.36 × 21,470.80
  4. Step 4: Simplify right side
    21,658x = 637,862,255.89
  5. Step 5: Solve for x
    x = 637,862,255.89/21,658
  6. Step 6: Final answer
    x = 29,451.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.