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Finding the Fourth Proportional to 2,385.97, 3,578.51 and 654.19

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Solution

The fourth proportional to 2,385.97, 3,578.51 and 654.19 is: 981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.97 : 3,578.51 = 654.19 : x
  2. Step 2: Convert to fraction form
    2,385.97/3,578.51 = 654.19/x
  3. Step 3: Cross multiply
    2,385.97x = 3,578.51 × 654.19
  4. Step 4: Simplify right side
    2,385.97x = 2,341,018.15
  5. Step 5: Solve for x
    x = 2,341,018.15/2,385.97
  6. Step 6: Final answer
    x = 981.16

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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.