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Finding the Fourth Proportional to 1,871.89, 2,814 and 1,564.35

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Solution

The fourth proportional to 1,871.89, 2,814 and 1,564.35 is: 2,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.89 : 2,814 = 1,564.35 : x
  2. Step 2: Convert to fraction form
    1,871.89/2,814 = 1,564.35/x
  3. Step 3: Cross multiply
    1,871.89x = 2,814 × 1,564.35
  4. Step 4: Simplify right side
    1,871.89x = 4,402,080.90
  5. Step 5: Solve for x
    x = 4,402,080.90/1,871.89
  6. Step 6: Final answer
    x = 2,351.68

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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.