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Finding the Fourth Proportional to 9,959.88, 13,749.30 and 5,767.32

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Solution

The fourth proportional to 9,959.88, 13,749.30 and 5,767.32 is: 7,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.88 : 13,749.30 = 5,767.32 : x
  2. Step 2: Convert to fraction form
    9,959.88/13,749.30 = 5,767.32/x
  3. Step 3: Cross multiply
    9,959.88x = 13,749.30 × 5,767.32
  4. Step 4: Simplify right side
    9,959.88x = 79,296,612.88
  5. Step 5: Solve for x
    x = 79,296,612.88/9,959.88
  6. Step 6: Final answer
    x = 7,961.60

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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.