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Finding the Fourth Proportional to 35,302.25, 52,978.86 and 20,491.40

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Solution

The fourth proportional to 35,302.25, 52,978.86 and 20,491.40 is: 30,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,302.25 : 52,978.86 = 20,491.40 : x
  2. Step 2: Convert to fraction form
    35,302.25/52,978.86 = 20,491.40/x
  3. Step 3: Cross multiply
    35,302.25x = 52,978.86 × 20,491.40
  4. Step 4: Simplify right side
    35,302.25x = 1,085,610,746.91
  5. Step 5: Solve for x
    x = 1,085,610,746.91/35,302.25
  6. Step 6: Final answer
    x = 30,751.89

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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.