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Finding the Fourth Proportional to 15,145.83, 20,902.20 and 9,178.02

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Solution

The fourth proportional to 15,145.83, 20,902.20 and 9,178.02 is: 12,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,145.83 : 20,902.20 = 9,178.02 : x
  2. Step 2: Convert to fraction form
    15,145.83/20,902.20 = 9,178.02/x
  3. Step 3: Cross multiply
    15,145.83x = 20,902.20 × 9,178.02
  4. Step 4: Simplify right side
    15,145.83x = 191,840,809.64
  5. Step 5: Solve for x
    x = 191,840,809.64/15,145.83
  6. Step 6: Final answer
    x = 12,666.25

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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.