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Finding the Fourth Proportional to 2,823.76, 4,236.20 and 875.88

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Solution

The fourth proportional to 2,823.76, 4,236.20 and 875.88 is: 1,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.76 : 4,236.20 = 875.88 : x
  2. Step 2: Convert to fraction form
    2,823.76/4,236.20 = 875.88/x
  3. Step 3: Cross multiply
    2,823.76x = 4,236.20 × 875.88
  4. Step 4: Simplify right side
    2,823.76x = 3,710,402.86
  5. Step 5: Solve for x
    x = 3,710,402.86/2,823.76
  6. Step 6: Final answer
    x = 1,313.99

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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.