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Finding the Fourth Proportional to 9,959.85, 13,742.51 and 5,712.27

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Solution

The fourth proportional to 9,959.85, 13,742.51 and 5,712.27 is: 7,881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.85 : 13,742.51 = 5,712.27 : x
  2. Step 2: Convert to fraction form
    9,959.85/13,742.51 = 5,712.27/x
  3. Step 3: Cross multiply
    9,959.85x = 13,742.51 × 5,712.27
  4. Step 4: Simplify right side
    9,959.85x = 78,500,899.04
  5. Step 5: Solve for x
    x = 78,500,899.04/9,959.85
  6. Step 6: Final answer
    x = 7,881.74

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1.5x scale

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.