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Finding the Fourth Proportional to 2,509.06, 3,763.48 and 660.14

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Solution

The fourth proportional to 2,509.06, 3,763.48 and 660.14 is: 990.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.06 : 3,763.48 = 660.14 : x
  2. Step 2: Convert to fraction form
    2,509.06/3,763.48 = 660.14/x
  3. Step 3: Cross multiply
    2,509.06x = 3,763.48 × 660.14
  4. Step 4: Simplify right side
    2,509.06x = 2,484,423.69
  5. Step 5: Solve for x
    x = 2,484,423.69/2,509.06
  6. Step 6: Final answer
    x = 990.18

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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.