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Finding the Fourth Proportional to 8,292.16, 11,443 and 4,515.40

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Solution

The fourth proportional to 8,292.16, 11,443 and 4,515.40 is: 6,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.16 : 11,443 = 4,515.40 : x
  2. Step 2: Convert to fraction form
    8,292.16/11,443 = 4,515.40/x
  3. Step 3: Cross multiply
    8,292.16x = 11,443 × 4,515.40
  4. Step 4: Simplify right side
    8,292.16x = 51,669,722.20
  5. Step 5: Solve for x
    x = 51,669,722.20/8,292.16
  6. Step 6: Final answer
    x = 6,231.15

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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.