Home / 7,849.12-10,827.28-4,900

Finding the Fourth Proportional to 7,849.12, 10,827.28 and 4,900

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Solution

The fourth proportional to 7,849.12, 10,827.28 and 4,900 is: 6,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.12 : 10,827.28 = 4,900 : x
  2. Step 2: Convert to fraction form
    7,849.12/10,827.28 = 4,900/x
  3. Step 3: Cross multiply
    7,849.12x = 10,827.28 × 4,900
  4. Step 4: Simplify right side
    7,849.12x = 53,053,672
  5. Step 5: Solve for x
    x = 53,053,672/7,849.12
  6. Step 6: Final answer
    x = 6,759.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.