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Finding the Fourth Proportional to 1,778.47, 2,653.98 and 1,562.49

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Solution

The fourth proportional to 1,778.47, 2,653.98 and 1,562.49 is: 2,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.47 : 2,653.98 = 1,562.49 : x
  2. Step 2: Convert to fraction form
    1,778.47/2,653.98 = 1,562.49/x
  3. Step 3: Cross multiply
    1,778.47x = 2,653.98 × 1,562.49
  4. Step 4: Simplify right side
    1,778.47x = 4,146,817.21
  5. Step 5: Solve for x
    x = 4,146,817.21/1,778.47
  6. Step 6: Final answer
    x = 2,331.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.