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Finding the Fourth Proportional to 36,471.76, 54,707.88 and 13,098.40

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Solution

The fourth proportional to 36,471.76, 54,707.88 and 13,098.40 is: 19,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,471.76 : 54,707.88 = 13,098.40 : x
  2. Step 2: Convert to fraction form
    36,471.76/54,707.88 = 13,098.40/x
  3. Step 3: Cross multiply
    36,471.76x = 54,707.88 × 13,098.40
  4. Step 4: Simplify right side
    36,471.76x = 716,585,695.39
  5. Step 5: Solve for x
    x = 716,585,695.39/36,471.76
  6. Step 6: Final answer
    x = 19,647.69

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1.5x scale

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.