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Finding the Fourth Proportional to 8,242.55, 11,368.51 and 5,724.66

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Solution

The fourth proportional to 8,242.55, 11,368.51 and 5,724.66 is: 7,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.55 : 11,368.51 = 5,724.66 : x
  2. Step 2: Convert to fraction form
    8,242.55/11,368.51 = 5,724.66/x
  3. Step 3: Cross multiply
    8,242.55x = 11,368.51 × 5,724.66
  4. Step 4: Simplify right side
    8,242.55x = 65,080,854.46
  5. Step 5: Solve for x
    x = 65,080,854.46/8,242.55
  6. Step 6: Final answer
    x = 7,895.72

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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.