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Finding the Fourth Proportional to 52,862.40, 79,293.15 and 13,419

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Solution

The fourth proportional to 52,862.40, 79,293.15 and 13,419 is: 20,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,862.40 : 79,293.15 = 13,419 : x
  2. Step 2: Convert to fraction form
    52,862.40/79,293.15 = 13,419/x
  3. Step 3: Cross multiply
    52,862.40x = 79,293.15 × 13,419
  4. Step 4: Simplify right side
    52,862.40x = 1,064,034,779.85
  5. Step 5: Solve for x
    x = 1,064,034,779.85/52,862.40
  6. Step 6: Final answer
    x = 20,128.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.