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Finding the Fourth Proportional to 2,373.25, 3,559.47 and 641.47

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Solution

The fourth proportional to 2,373.25, 3,559.47 and 641.47 is: 962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.25 : 3,559.47 = 641.47 : x
  2. Step 2: Convert to fraction form
    2,373.25/3,559.47 = 641.47/x
  3. Step 3: Cross multiply
    2,373.25x = 3,559.47 × 641.47
  4. Step 4: Simplify right side
    2,373.25x = 2,283,293.22
  5. Step 5: Solve for x
    x = 2,283,293.22/2,373.25
  6. Step 6: Final answer
    x = 962.10

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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.