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Finding the Fourth Proportional to 8,290.71, 11,443.95 and 4,757.49

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Solution

The fourth proportional to 8,290.71, 11,443.95 and 4,757.49 is: 6,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.71 : 11,443.95 = 4,757.49 : x
  2. Step 2: Convert to fraction form
    8,290.71/11,443.95 = 4,757.49/x
  3. Step 3: Cross multiply
    8,290.71x = 11,443.95 × 4,757.49
  4. Step 4: Simplify right side
    8,290.71x = 54,444,477.69
  5. Step 5: Solve for x
    x = 54,444,477.69/8,290.71
  6. Step 6: Final answer
    x = 6,566.93

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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.