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Finding the Fourth Proportional to 38,197.50, 52,712.73 and 21,430.50

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Solution

The fourth proportional to 38,197.50, 52,712.73 and 21,430.50 is: 29,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.50 : 52,712.73 = 21,430.50 : x
  2. Step 2: Convert to fraction form
    38,197.50/52,712.73 = 21,430.50/x
  3. Step 3: Cross multiply
    38,197.50x = 52,712.73 × 21,430.50
  4. Step 4: Simplify right side
    38,197.50x = 1,129,660,160.27
  5. Step 5: Solve for x
    x = 1,129,660,160.27/38,197.50
  6. Step 6: Final answer
    x = 29,574.19

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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.