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Finding the Fourth Proportional to 2,484.77, 3,726.29 and 840.87

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Solution

The fourth proportional to 2,484.77, 3,726.29 and 840.87 is: 1,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.77 : 3,726.29 = 840.87 : x
  2. Step 2: Convert to fraction form
    2,484.77/3,726.29 = 840.87/x
  3. Step 3: Cross multiply
    2,484.77x = 3,726.29 × 840.87
  4. Step 4: Simplify right side
    2,484.77x = 3,133,321.27
  5. Step 5: Solve for x
    x = 3,133,321.27/2,484.77
  6. Step 6: Final answer
    x = 1,261.01

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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.