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Finding the Fourth Proportional to 5,867.71, 8,802.87 and 1,972

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Solution

The fourth proportional to 5,867.71, 8,802.87 and 1,972 is: 2,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.71 : 8,802.87 = 1,972 : x
  2. Step 2: Convert to fraction form
    5,867.71/8,802.87 = 1,972/x
  3. Step 3: Cross multiply
    5,867.71x = 8,802.87 × 1,972
  4. Step 4: Simplify right side
    5,867.71x = 17,359,259.64
  5. Step 5: Solve for x
    x = 17,359,259.64/5,867.71
  6. Step 6: Final answer
    x = 2,958.44

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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.