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Finding the Fourth Proportional to 21,423, 29,577.48 and 14,706.48

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Solution

The fourth proportional to 21,423, 29,577.48 and 14,706.48 is: 20,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423 : 29,577.48 = 14,706.48 : x
  2. Step 2: Convert to fraction form
    21,423/29,577.48 = 14,706.48/x
  3. Step 3: Cross multiply
    21,423x = 29,577.48 × 14,706.48
  4. Step 4: Simplify right side
    21,423x = 434,980,618.07
  5. Step 5: Solve for x
    x = 434,980,618.07/21,423
  6. Step 6: Final answer
    x = 20,304.37

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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.