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Finding the Fourth Proportional to 21,761.76, 32,642.64 and 6,970.62

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Solution

The fourth proportional to 21,761.76, 32,642.64 and 6,970.62 is: 10,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.76 : 32,642.64 = 6,970.62 : x
  2. Step 2: Convert to fraction form
    21,761.76/32,642.64 = 6,970.62/x
  3. Step 3: Cross multiply
    21,761.76x = 32,642.64 × 6,970.62
  4. Step 4: Simplify right side
    21,761.76x = 227,539,439.24
  5. Step 5: Solve for x
    x = 227,539,439.24/21,761.76
  6. Step 6: Final answer
    x = 10,455.93

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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.