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Finding the Fourth Proportional to 12,985.20, 19,477.80 and 5,191.92

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Solution

The fourth proportional to 12,985.20, 19,477.80 and 5,191.92 is: 7,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.20 : 19,477.80 = 5,191.92 : x
  2. Step 2: Convert to fraction form
    12,985.20/19,477.80 = 5,191.92/x
  3. Step 3: Cross multiply
    12,985.20x = 19,477.80 × 5,191.92
  4. Step 4: Simplify right side
    12,985.20x = 101,127,179.38
  5. Step 5: Solve for x
    x = 101,127,179.38/12,985.20
  6. Step 6: Final answer
    x = 7,787.88

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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.