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Finding the Fourth Proportional to 13,547.20, 20,311.20 and 6,155.20

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Solution

The fourth proportional to 13,547.20, 20,311.20 and 6,155.20 is: 9,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.20 : 20,311.20 = 6,155.20 : x
  2. Step 2: Convert to fraction form
    13,547.20/20,311.20 = 6,155.20/x
  3. Step 3: Cross multiply
    13,547.20x = 20,311.20 × 6,155.20
  4. Step 4: Simplify right side
    13,547.20x = 125,019,498.24
  5. Step 5: Solve for x
    x = 125,019,498.24/13,547.20
  6. Step 6: Final answer
    x = 9,228.44

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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.