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Finding the Fourth Proportional to 21,686.64, 32,535.22 and 7,454.94

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Solution

The fourth proportional to 21,686.64, 32,535.22 and 7,454.94 is: 11,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.64 : 32,535.22 = 7,454.94 : x
  2. Step 2: Convert to fraction form
    21,686.64/32,535.22 = 7,454.94/x
  3. Step 3: Cross multiply
    21,686.64x = 32,535.22 × 7,454.94
  4. Step 4: Simplify right side
    21,686.64x = 242,548,112.99
  5. Step 5: Solve for x
    x = 242,548,112.99/21,686.64
  6. Step 6: Final answer
    x = 11,184.22

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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.