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Finding the Fourth Proportional to 2,128.23, 3,192.14 and 666.59

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Solution

The fourth proportional to 2,128.23, 3,192.14 and 666.59 is: 999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.23 : 3,192.14 = 666.59 : x
  2. Step 2: Convert to fraction form
    2,128.23/3,192.14 = 666.59/x
  3. Step 3: Cross multiply
    2,128.23x = 3,192.14 × 666.59
  4. Step 4: Simplify right side
    2,128.23x = 2,127,834.31
  5. Step 5: Solve for x
    x = 2,127,834.31/2,128.23
  6. Step 6: Final answer
    x = 999.81

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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.