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Finding the Fourth Proportional to 2,358.09, 3,537.89 and 714.79

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Solution

The fourth proportional to 2,358.09, 3,537.89 and 714.79 is: 1,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.09 : 3,537.89 = 714.79 : x
  2. Step 2: Convert to fraction form
    2,358.09/3,537.89 = 714.79/x
  3. Step 3: Cross multiply
    2,358.09x = 3,537.89 × 714.79
  4. Step 4: Simplify right side
    2,358.09x = 2,528,848.39
  5. Step 5: Solve for x
    x = 2,528,848.39/2,358.09
  6. Step 6: Final answer
    x = 1,072.41

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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.