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Finding the Fourth Proportional to 1,875.74, 2,811.15 and 836.06

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Solution

The fourth proportional to 1,875.74, 2,811.15 and 836.06 is: 1,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.74 : 2,811.15 = 836.06 : x
  2. Step 2: Convert to fraction form
    1,875.74/2,811.15 = 836.06/x
  3. Step 3: Cross multiply
    1,875.74x = 2,811.15 × 836.06
  4. Step 4: Simplify right side
    1,875.74x = 2,350,276.01
  5. Step 5: Solve for x
    x = 2,350,276.01/1,875.74
  6. Step 6: Final answer
    x = 1,252.99

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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.