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Finding the Fourth Proportional to 5,469, 7,547.16 and 3,111.14

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Solution

The fourth proportional to 5,469, 7,547.16 and 3,111.14 is: 4,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469 : 7,547.16 = 3,111.14 : x
  2. Step 2: Convert to fraction form
    5,469/7,547.16 = 3,111.14/x
  3. Step 3: Cross multiply
    5,469x = 7,547.16 × 3,111.14
  4. Step 4: Simplify right side
    5,469x = 23,480,218.07
  5. Step 5: Solve for x
    x = 23,480,218.07/5,469
  6. Step 6: Final answer
    x = 4,293.33

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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.