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Finding the Fourth Proportional to 8,266.76, 11,409.95 and 5,434.40

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Solution

The fourth proportional to 8,266.76, 11,409.95 and 5,434.40 is: 7,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.76 : 11,409.95 = 5,434.40 : x
  2. Step 2: Convert to fraction form
    8,266.76/11,409.95 = 5,434.40/x
  3. Step 3: Cross multiply
    8,266.76x = 11,409.95 × 5,434.40
  4. Step 4: Simplify right side
    8,266.76x = 62,006,148.06
  5. Step 5: Solve for x
    x = 62,006,148.06/8,266.76
  6. Step 6: Final answer
    x = 7,500.66

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Half scale
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Double scale
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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.