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Finding the Fourth Proportional to 12,648.40, 17,454.69 and 6,983.16

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Solution

The fourth proportional to 12,648.40, 17,454.69 and 6,983.16 is: 9,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.40 : 17,454.69 = 6,983.16 : x
  2. Step 2: Convert to fraction form
    12,648.40/17,454.69 = 6,983.16/x
  3. Step 3: Cross multiply
    12,648.40x = 17,454.69 × 6,983.16
  4. Step 4: Simplify right side
    12,648.40x = 121,888,827.57
  5. Step 5: Solve for x
    x = 121,888,827.57/12,648.40
  6. Step 6: Final answer
    x = 9,636.70

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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.