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Finding the Fourth Proportional to 5,330.94, 7,997.50 and 1,870.62

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Solution

The fourth proportional to 5,330.94, 7,997.50 and 1,870.62 is: 2,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330.94 : 7,997.50 = 1,870.62 : x
  2. Step 2: Convert to fraction form
    5,330.94/7,997.50 = 1,870.62/x
  3. Step 3: Cross multiply
    5,330.94x = 7,997.50 × 1,870.62
  4. Step 4: Simplify right side
    5,330.94x = 14,960,283.45
  5. Step 5: Solve for x
    x = 14,960,283.45/5,330.94
  6. Step 6: Final answer
    x = 2,806.31

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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.