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Finding the Fourth Proportional to 8,359.83, 11,531.13 and 5,638.95

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Solution

The fourth proportional to 8,359.83, 11,531.13 and 5,638.95 is: 7,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.83 : 11,531.13 = 5,638.95 : x
  2. Step 2: Convert to fraction form
    8,359.83/11,531.13 = 5,638.95/x
  3. Step 3: Cross multiply
    8,359.83x = 11,531.13 × 5,638.95
  4. Step 4: Simplify right side
    8,359.83x = 65,023,465.51
  5. Step 5: Solve for x
    x = 65,023,465.51/8,359.83
  6. Step 6: Final answer
    x = 7,778.08

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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.