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Finding the Fourth Proportional to 21,642.80, 32,465.64 and 7,601.12

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Solution

The fourth proportional to 21,642.80, 32,465.64 and 7,601.12 is: 11,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.80 : 32,465.64 = 7,601.12 : x
  2. Step 2: Convert to fraction form
    21,642.80/32,465.64 = 7,601.12/x
  3. Step 3: Cross multiply
    21,642.80x = 32,465.64 × 7,601.12
  4. Step 4: Simplify right side
    21,642.80x = 246,775,225.52
  5. Step 5: Solve for x
    x = 246,775,225.52/21,642.80
  6. Step 6: Final answer
    x = 11,402.19

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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.