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Finding the Fourth Proportional to 5,215.68, 7,818.66 and 1,750.50

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Solution

The fourth proportional to 5,215.68, 7,818.66 and 1,750.50 is: 2,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.68 : 7,818.66 = 1,750.50 : x
  2. Step 2: Convert to fraction form
    5,215.68/7,818.66 = 1,750.50/x
  3. Step 3: Cross multiply
    5,215.68x = 7,818.66 × 1,750.50
  4. Step 4: Simplify right side
    5,215.68x = 13,686,564.33
  5. Step 5: Solve for x
    x = 13,686,564.33/5,215.68
  6. Step 6: Final answer
    x = 2,624.12

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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.