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Finding the Fourth Proportional to 7,547.74, 11,311.31 and 2,865.24

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Solution

The fourth proportional to 7,547.74, 11,311.31 and 2,865.24 is: 4,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.74 : 11,311.31 = 2,865.24 : x
  2. Step 2: Convert to fraction form
    7,547.74/11,311.31 = 2,865.24/x
  3. Step 3: Cross multiply
    7,547.74x = 11,311.31 × 2,865.24
  4. Step 4: Simplify right side
    7,547.74x = 32,409,625.03
  5. Step 5: Solve for x
    x = 32,409,625.03/7,547.74
  6. Step 6: Final answer
    x = 4,293.95

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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.