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Finding the Fourth Proportional to 21,642.40, 32,466.84 and 9,162.40

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Solution

The fourth proportional to 21,642.40, 32,466.84 and 9,162.40 is: 13,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.40 : 32,466.84 = 9,162.40 : x
  2. Step 2: Convert to fraction form
    21,642.40/32,466.84 = 9,162.40/x
  3. Step 3: Cross multiply
    21,642.40x = 32,466.84 × 9,162.40
  4. Step 4: Simplify right side
    21,642.40x = 297,474,174.82
  5. Step 5: Solve for x
    x = 297,474,174.82/21,642.40
  6. Step 6: Final answer
    x = 13,744.97

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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.