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Finding the Fourth Proportional to 5,643.02, 7,787.67 and 3,547.82

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Solution

The fourth proportional to 5,643.02, 7,787.67 and 3,547.82 is: 4,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.02 : 7,787.67 = 3,547.82 : x
  2. Step 2: Convert to fraction form
    5,643.02/7,787.67 = 3,547.82/x
  3. Step 3: Cross multiply
    5,643.02x = 7,787.67 × 3,547.82
  4. Step 4: Simplify right side
    5,643.02x = 27,629,251.38
  5. Step 5: Solve for x
    x = 27,629,251.38/5,643.02
  6. Step 6: Final answer
    x = 4,896.18

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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.