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Finding the Fourth Proportional to 35,834.40, 53,713.20 and 13,639.20

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Solution

The fourth proportional to 35,834.40, 53,713.20 and 13,639.20 is: 20,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834.40 : 53,713.20 = 13,639.20 : x
  2. Step 2: Convert to fraction form
    35,834.40/53,713.20 = 13,639.20/x
  3. Step 3: Cross multiply
    35,834.40x = 53,713.20 × 13,639.20
  4. Step 4: Simplify right side
    35,834.40x = 732,605,077.44
  5. Step 5: Solve for x
    x = 732,605,077.44/35,834.40
  6. Step 6: Final answer
    x = 20,444.18

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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.