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Finding the Fourth Proportional to 52,530.86, 72,491.28 and 28,658

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Solution

The fourth proportional to 52,530.86, 72,491.28 and 28,658 is: 39,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,530.86 : 72,491.28 = 28,658 : x
  2. Step 2: Convert to fraction form
    52,530.86/72,491.28 = 28,658/x
  3. Step 3: Cross multiply
    52,530.86x = 72,491.28 × 28,658
  4. Step 4: Simplify right side
    52,530.86x = 2,077,455,102.24
  5. Step 5: Solve for x
    x = 2,077,455,102.24/52,530.86
  6. Step 6: Final answer
    x = 39,547.33

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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.