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Finding the Fourth Proportional to 2,715.20, 4,069.20 and 2,405.60

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Solution

The fourth proportional to 2,715.20, 4,069.20 and 2,405.60 is: 3,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.20 : 4,069.20 = 2,405.60 : x
  2. Step 2: Convert to fraction form
    2,715.20/4,069.20 = 2,405.60/x
  3. Step 3: Cross multiply
    2,715.20x = 4,069.20 × 2,405.60
  4. Step 4: Simplify right side
    2,715.20x = 9,788,867.52
  5. Step 5: Solve for x
    x = 9,788,867.52/2,715.20
  6. Step 6: Final answer
    x = 3,605.21

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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.