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Finding the Fourth Proportional to 52,726.15, 72,762.19 and 28,853

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Solution

The fourth proportional to 52,726.15, 72,762.19 and 28,853 is: 39,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,726.15 : 72,762.19 = 28,853 : x
  2. Step 2: Convert to fraction form
    52,726.15/72,762.19 = 28,853/x
  3. Step 3: Cross multiply
    52,726.15x = 72,762.19 × 28,853
  4. Step 4: Simplify right side
    52,726.15x = 2,099,407,468.07
  5. Step 5: Solve for x
    x = 2,099,407,468.07/52,726.15
  6. Step 6: Final answer
    x = 39,817.20

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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.