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Finding the Fourth Proportional to 12,397.16, 17,100.18 and 7,916.20

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Solution

The fourth proportional to 12,397.16, 17,100.18 and 7,916.20 is: 10,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.16 : 17,100.18 = 7,916.20 : x
  2. Step 2: Convert to fraction form
    12,397.16/17,100.18 = 7,916.20/x
  3. Step 3: Cross multiply
    12,397.16x = 17,100.18 × 7,916.20
  4. Step 4: Simplify right side
    12,397.16x = 135,368,444.92
  5. Step 5: Solve for x
    x = 135,368,444.92/12,397.16
  6. Step 6: Final answer
    x = 10,919.31

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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.