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Finding the Fourth Proportional to 2,957.68, 4,438.01 and 1,971.16

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Solution

The fourth proportional to 2,957.68, 4,438.01 and 1,971.16 is: 2,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.68 : 4,438.01 = 1,971.16 : x
  2. Step 2: Convert to fraction form
    2,957.68/4,438.01 = 1,971.16/x
  3. Step 3: Cross multiply
    2,957.68x = 4,438.01 × 1,971.16
  4. Step 4: Simplify right side
    2,957.68x = 8,748,027.79
  5. Step 5: Solve for x
    x = 8,748,027.79/2,957.68
  6. Step 6: Final answer
    x = 2,957.73

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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.