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Finding the Fourth Proportional to 5,574.80, 8,373.28 and 5,378

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Solution

The fourth proportional to 5,574.80, 8,373.28 and 5,378 is: 8,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.80 : 8,373.28 = 5,378 : x
  2. Step 2: Convert to fraction form
    5,574.80/8,373.28 = 5,378/x
  3. Step 3: Cross multiply
    5,574.80x = 8,373.28 × 5,378
  4. Step 4: Simplify right side
    5,574.80x = 45,031,499.84
  5. Step 5: Solve for x
    x = 45,031,499.84/5,574.80
  6. Step 6: Final answer
    x = 8,077.69

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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.