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Finding the Fourth Proportional to 2,803.68, 3,869.10 and 1,810.80

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Solution

The fourth proportional to 2,803.68, 3,869.10 and 1,810.80 is: 2,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.68 : 3,869.10 = 1,810.80 : x
  2. Step 2: Convert to fraction form
    2,803.68/3,869.10 = 1,810.80/x
  3. Step 3: Cross multiply
    2,803.68x = 3,869.10 × 1,810.80
  4. Step 4: Simplify right side
    2,803.68x = 7,006,166.28
  5. Step 5: Solve for x
    x = 7,006,166.28/2,803.68
  6. Step 6: Final answer
    x = 2,498.92

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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.