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Finding the Fourth Proportional to 21,420, 29,572.56 and 13,980.96

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Solution

The fourth proportional to 21,420, 29,572.56 and 13,980.96 is: 19,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420 : 29,572.56 = 13,980.96 : x
  2. Step 2: Convert to fraction form
    21,420/29,572.56 = 13,980.96/x
  3. Step 3: Cross multiply
    21,420x = 29,572.56 × 13,980.96
  4. Step 4: Simplify right side
    21,420x = 413,452,778.46
  5. Step 5: Solve for x
    x = 413,452,778.46/21,420
  6. Step 6: Final answer
    x = 19,302.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.