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Finding the Fourth Proportional to 2,484.74, 3,727.52 and 840.91

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Solution

The fourth proportional to 2,484.74, 3,727.52 and 840.91 is: 1,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.74 : 3,727.52 = 840.91 : x
  2. Step 2: Convert to fraction form
    2,484.74/3,727.52 = 840.91/x
  3. Step 3: Cross multiply
    2,484.74x = 3,727.52 × 840.91
  4. Step 4: Simplify right side
    2,484.74x = 3,134,508.84
  5. Step 5: Solve for x
    x = 3,134,508.84/2,484.74
  6. Step 6: Final answer
    x = 1,261.50

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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.