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Finding the Fourth Proportional to 2,127.65, 3,191.47 and 666.91

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Solution

The fourth proportional to 2,127.65, 3,191.47 and 666.91 is: 1,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.65 : 3,191.47 = 666.91 : x
  2. Step 2: Convert to fraction form
    2,127.65/3,191.47 = 666.91/x
  3. Step 3: Cross multiply
    2,127.65x = 3,191.47 × 666.91
  4. Step 4: Simplify right side
    2,127.65x = 2,128,438.31
  5. Step 5: Solve for x
    x = 2,128,438.31/2,127.65
  6. Step 6: Final answer
    x = 1,000.37

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1.5x scale

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.