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Finding the Fourth Proportional to 15,205.68, 20,977.98 and 9,538.11

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Solution

The fourth proportional to 15,205.68, 20,977.98 and 9,538.11 is: 13,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.68 : 20,977.98 = 9,538.11 : x
  2. Step 2: Convert to fraction form
    15,205.68/20,977.98 = 9,538.11/x
  3. Step 3: Cross multiply
    15,205.68x = 20,977.98 × 9,538.11
  4. Step 4: Simplify right side
    15,205.68x = 200,090,280.82
  5. Step 5: Solve for x
    x = 200,090,280.82/15,205.68
  6. Step 6: Final answer
    x = 13,158.92

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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.