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Finding the Fourth Proportional to 1,800.71, 2,484.69 and 1,137.92

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Solution

The fourth proportional to 1,800.71, 2,484.69 and 1,137.92 is: 1,570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.71 : 2,484.69 = 1,137.92 : x
  2. Step 2: Convert to fraction form
    1,800.71/2,484.69 = 1,137.92/x
  3. Step 3: Cross multiply
    1,800.71x = 2,484.69 × 1,137.92
  4. Step 4: Simplify right side
    1,800.71x = 2,827,378.44
  5. Step 5: Solve for x
    x = 2,827,378.44/1,800.71
  6. Step 6: Final answer
    x = 1,570.15

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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.