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Finding the Fourth Proportional to 21,577.76, 32,365.62 and 5,782.76

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Solution

The fourth proportional to 21,577.76, 32,365.62 and 5,782.76 is: 8,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.76 : 32,365.62 = 5,782.76 : x
  2. Step 2: Convert to fraction form
    21,577.76/32,365.62 = 5,782.76/x
  3. Step 3: Cross multiply
    21,577.76x = 32,365.62 × 5,782.76
  4. Step 4: Simplify right side
    21,577.76x = 187,162,612.71
  5. Step 5: Solve for x
    x = 187,162,612.71/21,577.76
  6. Step 6: Final answer
    x = 8,673.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.