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Finding the Fourth Proportional to 1,807.45, 2,488.47 and 1,574.47

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Solution

The fourth proportional to 1,807.45, 2,488.47 and 1,574.47 is: 2,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.45 : 2,488.47 = 1,574.47 : x
  2. Step 2: Convert to fraction form
    1,807.45/2,488.47 = 1,574.47/x
  3. Step 3: Cross multiply
    1,807.45x = 2,488.47 × 1,574.47
  4. Step 4: Simplify right side
    1,807.45x = 3,918,018.57
  5. Step 5: Solve for x
    x = 3,918,018.57/1,807.45
  6. Step 6: Final answer
    x = 2,167.71

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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.