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Finding the Fourth Proportional to 38,699.52, 53,403.12 and 21,702.48

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Solution

The fourth proportional to 38,699.52, 53,403.12 and 21,702.48 is: 29,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,699.52 : 53,403.12 = 21,702.48 : x
  2. Step 2: Convert to fraction form
    38,699.52/53,403.12 = 21,702.48/x
  3. Step 3: Cross multiply
    38,699.52x = 53,403.12 × 21,702.48
  4. Step 4: Simplify right side
    38,699.52x = 1,158,980,143.74
  5. Step 5: Solve for x
    x = 1,158,980,143.74/38,699.52
  6. Step 6: Final answer
    x = 29,948.18

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1.5x scale

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.