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Finding the Fourth Proportional to 5,127.82, 7,684.95 and 4,999

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Solution

The fourth proportional to 5,127.82, 7,684.95 and 4,999 is: 7,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,127.82 : 7,684.95 = 4,999 : x
  2. Step 2: Convert to fraction form
    5,127.82/7,684.95 = 4,999/x
  3. Step 3: Cross multiply
    5,127.82x = 7,684.95 × 4,999
  4. Step 4: Simplify right side
    5,127.82x = 38,417,065.05
  5. Step 5: Solve for x
    x = 38,417,065.05/5,127.82
  6. Step 6: Final answer
    x = 7,491.89

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1.5x scale

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.