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Finding the Fourth Proportional to 5,333.28, 8,000 and 1,870.56

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Solution

The fourth proportional to 5,333.28, 8,000 and 1,870.56 is: 2,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.28 : 8,000 = 1,870.56 : x
  2. Step 2: Convert to fraction form
    5,333.28/8,000 = 1,870.56/x
  3. Step 3: Cross multiply
    5,333.28x = 8,000 × 1,870.56
  4. Step 4: Simplify right side
    5,333.28x = 14,964,480
  5. Step 5: Solve for x
    x = 14,964,480/5,333.28
  6. Step 6: Final answer
    x = 2,805.87

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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.