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Finding the Fourth Proportional to 38,190.69, 52,702.65 and 21,195

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Solution

The fourth proportional to 38,190.69, 52,702.65 and 21,195 is: 29,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,190.69 : 52,702.65 = 21,195 : x
  2. Step 2: Convert to fraction form
    38,190.69/52,702.65 = 21,195/x
  3. Step 3: Cross multiply
    38,190.69x = 52,702.65 × 21,195
  4. Step 4: Simplify right side
    38,190.69x = 1,117,032,666.75
  5. Step 5: Solve for x
    x = 1,117,032,666.75/38,190.69
  6. Step 6: Final answer
    x = 29,248.82

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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.