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Finding the Fourth Proportional to 2,876.93, 3,968.04 and 1,756.95

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Solution

The fourth proportional to 2,876.93, 3,968.04 and 1,756.95 is: 2,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.93 : 3,968.04 = 1,756.95 : x
  2. Step 2: Convert to fraction form
    2,876.93/3,968.04 = 1,756.95/x
  3. Step 3: Cross multiply
    2,876.93x = 3,968.04 × 1,756.95
  4. Step 4: Simplify right side
    2,876.93x = 6,971,632.49
  5. Step 5: Solve for x
    x = 6,971,632.49/2,876.93
  6. Step 6: Final answer
    x = 2,423.29

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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.