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Finding the Fourth Proportional to 5,187.45, 7,762.59 and 4,839.87

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Solution

The fourth proportional to 5,187.45, 7,762.59 and 4,839.87 is: 7,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.45 : 7,762.59 = 4,839.87 : x
  2. Step 2: Convert to fraction form
    5,187.45/7,762.59 = 4,839.87/x
  3. Step 3: Cross multiply
    5,187.45x = 7,762.59 × 4,839.87
  4. Step 4: Simplify right side
    5,187.45x = 37,569,926.46
  5. Step 5: Solve for x
    x = 37,569,926.46/5,187.45
  6. Step 6: Final answer
    x = 7,242.47

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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.