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Finding the Fourth Proportional to 1,875.87, 2,814.71 and 901.44

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Solution

The fourth proportional to 1,875.87, 2,814.71 and 901.44 is: 1,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.87 : 2,814.71 = 901.44 : x
  2. Step 2: Convert to fraction form
    1,875.87/2,814.71 = 901.44/x
  3. Step 3: Cross multiply
    1,875.87x = 2,814.71 × 901.44
  4. Step 4: Simplify right side
    1,875.87x = 2,537,292.18
  5. Step 5: Solve for x
    x = 2,537,292.18/1,875.87
  6. Step 6: Final answer
    x = 1,352.59

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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.