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Finding the Fourth Proportional to 25,641.40, 35,372.50 and 19,966.04

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Solution

The fourth proportional to 25,641.40, 35,372.50 and 19,966.04 is: 27,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.40 : 35,372.50 = 19,966.04 : x
  2. Step 2: Convert to fraction form
    25,641.40/35,372.50 = 19,966.04/x
  3. Step 3: Cross multiply
    25,641.40x = 35,372.50 × 19,966.04
  4. Step 4: Simplify right side
    25,641.40x = 706,248,749.90
  5. Step 5: Solve for x
    x = 706,248,749.90/25,641.40
  6. Step 6: Final answer
    x = 27,543.30

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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.