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Finding the Fourth Proportional to 21,761.40, 32,642.10 and 6,970.44

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Solution

The fourth proportional to 21,761.40, 32,642.10 and 6,970.44 is: 10,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.40 : 32,642.10 = 6,970.44 : x
  2. Step 2: Convert to fraction form
    21,761.40/32,642.10 = 6,970.44/x
  3. Step 3: Cross multiply
    21,761.40x = 32,642.10 × 6,970.44
  4. Step 4: Simplify right side
    21,761.40x = 227,529,799.52
  5. Step 5: Solve for x
    x = 227,529,799.52/21,761.40
  6. Step 6: Final answer
    x = 10,455.66

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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.