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Finding the Fourth Proportional to 12,454.16, 17,187.93 and 7,148.86

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Solution

The fourth proportional to 12,454.16, 17,187.93 and 7,148.86 is: 9,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.16 : 17,187.93 = 7,148.86 : x
  2. Step 2: Convert to fraction form
    12,454.16/17,187.93 = 7,148.86/x
  3. Step 3: Cross multiply
    12,454.16x = 17,187.93 × 7,148.86
  4. Step 4: Simplify right side
    12,454.16x = 122,874,062.29
  5. Step 5: Solve for x
    x = 122,874,062.29/12,454.16
  6. Step 6: Final answer
    x = 9,866.11

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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.