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Finding the Fourth Proportional to 12,070.50, 16,651.18 and 8,921.22

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Solution

The fourth proportional to 12,070.50, 16,651.18 and 8,921.22 is: 12,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.50 : 16,651.18 = 8,921.22 : x
  2. Step 2: Convert to fraction form
    12,070.50/16,651.18 = 8,921.22/x
  3. Step 3: Cross multiply
    12,070.50x = 16,651.18 × 8,921.22
  4. Step 4: Simplify right side
    12,070.50x = 148,548,840.04
  5. Step 5: Solve for x
    x = 148,548,840.04/12,070.50
  6. Step 6: Final answer
    x = 12,306.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.