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Finding the Fourth Proportional to 8,437.76, 11,649.08 and 5,789.06

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Solution

The fourth proportional to 8,437.76, 11,649.08 and 5,789.06 is: 7,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.76 : 11,649.08 = 5,789.06 : x
  2. Step 2: Convert to fraction form
    8,437.76/11,649.08 = 5,789.06/x
  3. Step 3: Cross multiply
    8,437.76x = 11,649.08 × 5,789.06
  4. Step 4: Simplify right side
    8,437.76x = 67,437,223.06
  5. Step 5: Solve for x
    x = 67,437,223.06/8,437.76
  6. Step 6: Final answer
    x = 7,992.31

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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.