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Finding the Fourth Proportional to 9,889, 13,646.82 and 5,473

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Solution

The fourth proportional to 9,889, 13,646.82 and 5,473 is: 7,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889 : 13,646.82 = 5,473 : x
  2. Step 2: Convert to fraction form
    9,889/13,646.82 = 5,473/x
  3. Step 3: Cross multiply
    9,889x = 13,646.82 × 5,473
  4. Step 4: Simplify right side
    9,889x = 74,689,045.86
  5. Step 5: Solve for x
    x = 74,689,045.86/9,889
  6. Step 6: Final answer
    x = 7,552.74

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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.