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Finding the Fourth Proportional to 20,511, 28,298.70 and 12,549.24

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Solution

The fourth proportional to 20,511, 28,298.70 and 12,549.24 is: 17,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511 : 28,298.70 = 12,549.24 : x
  2. Step 2: Convert to fraction form
    20,511/28,298.70 = 12,549.24/x
  3. Step 3: Cross multiply
    20,511x = 28,298.70 × 12,549.24
  4. Step 4: Simplify right side
    20,511x = 355,127,177.99
  5. Step 5: Solve for x
    x = 355,127,177.99/20,511
  6. Step 6: Final answer
    x = 17,313.99

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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.