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Finding the Fourth Proportional to 5,278.50, 7,862.00 and 5,000.94

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Solution

The fourth proportional to 5,278.50, 7,862.00 and 5,000.94 is: 7,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.50 : 7,862.00 = 5,000.94 : x
  2. Step 2: Convert to fraction form
    5,278.50/7,862.00 = 5,000.94/x
  3. Step 3: Cross multiply
    5,278.50x = 7,862.00 × 5,000.94
  4. Step 4: Simplify right side
    5,278.50x = 39,317,365.28
  5. Step 5: Solve for x
    x = 39,317,365.28/5,278.50
  6. Step 6: Final answer
    x = 7,448.59

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1.5x scale

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.