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Finding the Fourth Proportional to 21,343.12, 32,014.04 and 5,761.68

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Solution

The fourth proportional to 21,343.12, 32,014.04 and 5,761.68 is: 8,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.12 : 32,014.04 = 5,761.68 : x
  2. Step 2: Convert to fraction form
    21,343.12/32,014.04 = 5,761.68/x
  3. Step 3: Cross multiply
    21,343.12x = 32,014.04 × 5,761.68
  4. Step 4: Simplify right side
    21,343.12x = 184,454,653.99
  5. Step 5: Solve for x
    x = 184,454,653.99/21,343.12
  6. Step 6: Final answer
    x = 8,642.35

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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.