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Finding the Fourth Proportional to 1,807.68, 2,711.04 and 1,788

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Solution

The fourth proportional to 1,807.68, 2,711.04 and 1,788 is: 2,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.68 : 2,711.04 = 1,788 : x
  2. Step 2: Convert to fraction form
    1,807.68/2,711.04 = 1,788/x
  3. Step 3: Cross multiply
    1,807.68x = 2,711.04 × 1,788
  4. Step 4: Simplify right side
    1,807.68x = 4,847,339.52
  5. Step 5: Solve for x
    x = 4,847,339.52/1,807.68
  6. Step 6: Final answer
    x = 2,681.53

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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.