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Finding the Fourth Proportional to 2,378.50, 3,569.81 and 918.68

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Solution

The fourth proportional to 2,378.50, 3,569.81 and 918.68 is: 1,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.50 : 3,569.81 = 918.68 : x
  2. Step 2: Convert to fraction form
    2,378.50/3,569.81 = 918.68/x
  3. Step 3: Cross multiply
    2,378.50x = 3,569.81 × 918.68
  4. Step 4: Simplify right side
    2,378.50x = 3,279,490.61
  5. Step 5: Solve for x
    x = 3,279,490.61/2,378.50
  6. Step 6: Final answer
    x = 1,378.81

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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.