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Finding the Fourth Proportional to 12,937.77, 17,854.16 and 7,348.77

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Solution

The fourth proportional to 12,937.77, 17,854.16 and 7,348.77 is: 10,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.77 : 17,854.16 = 7,348.77 : x
  2. Step 2: Convert to fraction form
    12,937.77/17,854.16 = 7,348.77/x
  3. Step 3: Cross multiply
    12,937.77x = 17,854.16 × 7,348.77
  4. Step 4: Simplify right side
    12,937.77x = 131,206,078.64
  5. Step 5: Solve for x
    x = 131,206,078.64/12,937.77
  6. Step 6: Final answer
    x = 10,141.32

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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.