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Finding the Fourth Proportional to 12,411.06, 17,120.40 and 7,865.40

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Solution

The fourth proportional to 12,411.06, 17,120.40 and 7,865.40 is: 10,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.06 : 17,120.40 = 7,865.40 : x
  2. Step 2: Convert to fraction form
    12,411.06/17,120.40 = 7,865.40/x
  3. Step 3: Cross multiply
    12,411.06x = 17,120.40 × 7,865.40
  4. Step 4: Simplify right side
    12,411.06x = 134,658,794.16
  5. Step 5: Solve for x
    x = 134,658,794.16/12,411.06
  6. Step 6: Final answer
    x = 10,849.90

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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.