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Finding the Fourth Proportional to 5,307.25, 7,959.50 and 2,188.14

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Solution

The fourth proportional to 5,307.25, 7,959.50 and 2,188.14 is: 3,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.25 : 7,959.50 = 2,188.14 : x
  2. Step 2: Convert to fraction form
    5,307.25/7,959.50 = 2,188.14/x
  3. Step 3: Cross multiply
    5,307.25x = 7,959.50 × 2,188.14
  4. Step 4: Simplify right side
    5,307.25x = 17,416,505.80
  5. Step 5: Solve for x
    x = 17,416,505.80/5,307.25
  6. Step 6: Final answer
    x = 3,281.65

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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.