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Finding the Fourth Proportional to 10,354.80, 15,530.80 and 4,119.40

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Solution

The fourth proportional to 10,354.80, 15,530.80 and 4,119.40 is: 6,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.80 : 15,530.80 = 4,119.40 : x
  2. Step 2: Convert to fraction form
    10,354.80/15,530.80 = 4,119.40/x
  3. Step 3: Cross multiply
    10,354.80x = 15,530.80 × 4,119.40
  4. Step 4: Simplify right side
    10,354.80x = 63,977,577.52
  5. Step 5: Solve for x
    x = 63,977,577.52/10,354.80
  6. Step 6: Final answer
    x = 6,178.54

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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.