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Finding the Fourth Proportional to 4,437.71, 6,656.60 and 1,971.87

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Solution

The fourth proportional to 4,437.71, 6,656.60 and 1,971.87 is: 2,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437.71 : 6,656.60 = 1,971.87 : x
  2. Step 2: Convert to fraction form
    4,437.71/6,656.60 = 1,971.87/x
  3. Step 3: Cross multiply
    4,437.71x = 6,656.60 × 1,971.87
  4. Step 4: Simplify right side
    4,437.71x = 13,125,949.84
  5. Step 5: Solve for x
    x = 13,125,949.84/4,437.71
  6. Step 6: Final answer
    x = 2,957.82

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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.