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Finding the Fourth Proportional to 4,569.55, 6,855.13 and 1,647.47

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Solution

The fourth proportional to 4,569.55, 6,855.13 and 1,647.47 is: 2,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.55 : 6,855.13 = 1,647.47 : x
  2. Step 2: Convert to fraction form
    4,569.55/6,855.13 = 1,647.47/x
  3. Step 3: Cross multiply
    4,569.55x = 6,855.13 × 1,647.47
  4. Step 4: Simplify right side
    4,569.55x = 11,293,640.22
  5. Step 5: Solve for x
    x = 11,293,640.22/4,569.55
  6. Step 6: Final answer
    x = 2,471.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.