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Finding the Fourth Proportional to 2,548, 3,507.60 and 2,285.92

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Solution

The fourth proportional to 2,548, 3,507.60 and 2,285.92 is: 3,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548 : 3,507.60 = 2,285.92 : x
  2. Step 2: Convert to fraction form
    2,548/3,507.60 = 2,285.92/x
  3. Step 3: Cross multiply
    2,548x = 3,507.60 × 2,285.92
  4. Step 4: Simplify right side
    2,548x = 8,018,092.99
  5. Step 5: Solve for x
    x = 8,018,092.99/2,548
  6. Step 6: Final answer
    x = 3,146.82

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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.