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Finding the Fourth Proportional to 1,876.72, 2,802.08 and 1,760.08

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Solution

The fourth proportional to 1,876.72, 2,802.08 and 1,760.08 is: 2,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.72 : 2,802.08 = 1,760.08 : x
  2. Step 2: Convert to fraction form
    1,876.72/2,802.08 = 1,760.08/x
  3. Step 3: Cross multiply
    1,876.72x = 2,802.08 × 1,760.08
  4. Step 4: Simplify right side
    1,876.72x = 4,931,884.97
  5. Step 5: Solve for x
    x = 4,931,884.97/1,876.72
  6. Step 6: Final answer
    x = 2,627.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.