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Finding the Fourth Proportional to 9,689.88, 13,369.96 and 5,709.52

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Solution

The fourth proportional to 9,689.88, 13,369.96 and 5,709.52 is: 7,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.88 : 13,369.96 = 5,709.52 : x
  2. Step 2: Convert to fraction form
    9,689.88/13,369.96 = 5,709.52/x
  3. Step 3: Cross multiply
    9,689.88x = 13,369.96 × 5,709.52
  4. Step 4: Simplify right side
    9,689.88x = 76,336,054.02
  5. Step 5: Solve for x
    x = 76,336,054.02/9,689.88
  6. Step 6: Final answer
    x = 7,877.92

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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.