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Finding the Fourth Proportional to 8,364.74, 11,550.98 and 5,385.64

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Solution

The fourth proportional to 8,364.74, 11,550.98 and 5,385.64 is: 7,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.74 : 11,550.98 = 5,385.64 : x
  2. Step 2: Convert to fraction form
    8,364.74/11,550.98 = 5,385.64/x
  3. Step 3: Cross multiply
    8,364.74x = 11,550.98 × 5,385.64
  4. Step 4: Simplify right side
    8,364.74x = 62,209,419.93
  5. Step 5: Solve for x
    x = 62,209,419.93/8,364.74
  6. Step 6: Final answer
    x = 7,437.10

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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.