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Finding the Fourth Proportional to 1,412.10, 2,117.01 and 642.06

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Solution

The fourth proportional to 1,412.10, 2,117.01 and 642.06 is: 962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.10 : 2,117.01 = 642.06 : x
  2. Step 2: Convert to fraction form
    1,412.10/2,117.01 = 642.06/x
  3. Step 3: Cross multiply
    1,412.10x = 2,117.01 × 642.06
  4. Step 4: Simplify right side
    1,412.10x = 1,359,247.44
  5. Step 5: Solve for x
    x = 1,359,247.44/1,412.10
  6. Step 6: Final answer
    x = 962.57

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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.