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Finding the Fourth Proportional to 21,489.76, 29,658 and 14,430.88

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Solution

The fourth proportional to 21,489.76, 29,658 and 14,430.88 is: 19,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489.76 : 29,658 = 14,430.88 : x
  2. Step 2: Convert to fraction form
    21,489.76/29,658 = 14,430.88/x
  3. Step 3: Cross multiply
    21,489.76x = 29,658 × 14,430.88
  4. Step 4: Simplify right side
    21,489.76x = 427,991,039.04
  5. Step 5: Solve for x
    x = 427,991,039.04/21,489.76
  6. Step 6: Final answer
    x = 19,916.05

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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.