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Finding the Fourth Proportional to 1,564.75, 2,347.11 and 1,486.89

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Solution

The fourth proportional to 1,564.75, 2,347.11 and 1,486.89 is: 2,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.75 : 2,347.11 = 1,486.89 : x
  2. Step 2: Convert to fraction form
    1,564.75/2,347.11 = 1,486.89/x
  3. Step 3: Cross multiply
    1,564.75x = 2,347.11 × 1,486.89
  4. Step 4: Simplify right side
    1,564.75x = 3,489,894.39
  5. Step 5: Solve for x
    x = 3,489,894.39/1,564.75
  6. Step 6: Final answer
    x = 2,230.32

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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.