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Finding the Fourth Proportional to 2,385.81, 3,578.72 and 2,259.45

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Solution

The fourth proportional to 2,385.81, 3,578.72 and 2,259.45 is: 3,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.81 : 3,578.72 = 2,259.45 : x
  2. Step 2: Convert to fraction form
    2,385.81/3,578.72 = 2,259.45/x
  3. Step 3: Cross multiply
    2,385.81x = 3,578.72 × 2,259.45
  4. Step 4: Simplify right side
    2,385.81x = 8,085,927.61
  5. Step 5: Solve for x
    x = 8,085,927.61/2,385.81
  6. Step 6: Final answer
    x = 3,389.18

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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.