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Finding the Fourth Proportional to 2,485.80, 3,726.09 and 841.77

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Solution

The fourth proportional to 2,485.80, 3,726.09 and 841.77 is: 1,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.80 : 3,726.09 = 841.77 : x
  2. Step 2: Convert to fraction form
    2,485.80/3,726.09 = 841.77/x
  3. Step 3: Cross multiply
    2,485.80x = 3,726.09 × 841.77
  4. Step 4: Simplify right side
    2,485.80x = 3,136,510.78
  5. Step 5: Solve for x
    x = 3,136,510.78/2,485.80
  6. Step 6: Final answer
    x = 1,261.77

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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.