Home / 5,104.17-7,656-1,406.43

Finding the Fourth Proportional to 5,104.17, 7,656 and 1,406.43

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Solution

The fourth proportional to 5,104.17, 7,656 and 1,406.43 is: 2,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.17 : 7,656 = 1,406.43 : x
  2. Step 2: Convert to fraction form
    5,104.17/7,656 = 1,406.43/x
  3. Step 3: Cross multiply
    5,104.17x = 7,656 × 1,406.43
  4. Step 4: Simplify right side
    5,104.17x = 10,767,628.08
  5. Step 5: Solve for x
    x = 10,767,628.08/5,104.17
  6. Step 6: Final answer
    x = 2,109.57

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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.