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Finding the Fourth Proportional to 9,886.72, 13,644 and 5,695.36

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Solution

The fourth proportional to 9,886.72, 13,644 and 5,695.36 is: 7,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.72 : 13,644 = 5,695.36 : x
  2. Step 2: Convert to fraction form
    9,886.72/13,644 = 5,695.36/x
  3. Step 3: Cross multiply
    9,886.72x = 13,644 × 5,695.36
  4. Step 4: Simplify right side
    9,886.72x = 77,707,491.84
  5. Step 5: Solve for x
    x = 77,707,491.84/9,886.72
  6. Step 6: Final answer
    x = 7,859.78

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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.