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Finding the Fourth Proportional to 9,895.71, 13,652.69 and 5,643.71

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Solution

The fourth proportional to 9,895.71, 13,652.69 and 5,643.71 is: 7,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.71 : 13,652.69 = 5,643.71 : x
  2. Step 2: Convert to fraction form
    9,895.71/13,652.69 = 5,643.71/x
  3. Step 3: Cross multiply
    9,895.71x = 13,652.69 × 5,643.71
  4. Step 4: Simplify right side
    9,895.71x = 77,051,859.20
  5. Step 5: Solve for x
    x = 77,051,859.20/9,895.71
  6. Step 6: Final answer
    x = 7,786.39

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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.