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Finding the Fourth Proportional to 5,469, 7,547.28 and 2,985

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Solution

The fourth proportional to 5,469, 7,547.28 and 2,985 is: 4,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469 : 7,547.28 = 2,985 : x
  2. Step 2: Convert to fraction form
    5,469/7,547.28 = 2,985/x
  3. Step 3: Cross multiply
    5,469x = 7,547.28 × 2,985
  4. Step 4: Simplify right side
    5,469x = 22,528,630.80
  5. Step 5: Solve for x
    x = 22,528,630.80/5,469
  6. Step 6: Final answer
    x = 4,119.33

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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.