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Finding the Fourth Proportional to 2,513.49, 3,464.62 and 1,981.51

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Solution

The fourth proportional to 2,513.49, 3,464.62 and 1,981.51 is: 2,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.49 : 3,464.62 = 1,981.51 : x
  2. Step 2: Convert to fraction form
    2,513.49/3,464.62 = 1,981.51/x
  3. Step 3: Cross multiply
    2,513.49x = 3,464.62 × 1,981.51
  4. Step 4: Simplify right side
    2,513.49x = 6,865,151.95
  5. Step 5: Solve for x
    x = 6,865,151.95/2,513.49
  6. Step 6: Final answer
    x = 2,731.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.