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Finding the Fourth Proportional to 2,605.60, 3,908.40 and 1,509.24

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Solution

The fourth proportional to 2,605.60, 3,908.40 and 1,509.24 is: 2,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.60 : 3,908.40 = 1,509.24 : x
  2. Step 2: Convert to fraction form
    2,605.60/3,908.40 = 1,509.24/x
  3. Step 3: Cross multiply
    2,605.60x = 3,908.40 × 1,509.24
  4. Step 4: Simplify right side
    2,605.60x = 5,898,713.62
  5. Step 5: Solve for x
    x = 5,898,713.62/2,605.60
  6. Step 6: Final answer
    x = 2,263.86

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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.