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Finding the Fourth Proportional to 5,358.66, 7,985.40 and 5,182.50

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Solution

The fourth proportional to 5,358.66, 7,985.40 and 5,182.50 is: 7,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.66 : 7,985.40 = 5,182.50 : x
  2. Step 2: Convert to fraction form
    5,358.66/7,985.40 = 5,182.50/x
  3. Step 3: Cross multiply
    5,358.66x = 7,985.40 × 5,182.50
  4. Step 4: Simplify right side
    5,358.66x = 41,384,335.50
  5. Step 5: Solve for x
    x = 41,384,335.50/5,358.66
  6. Step 6: Final answer
    x = 7,722.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.