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Finding the Fourth Proportional to 2,816.61, 4,225.75 and 842.30

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Solution

The fourth proportional to 2,816.61, 4,225.75 and 842.30 is: 1,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.61 : 4,225.75 = 842.30 : x
  2. Step 2: Convert to fraction form
    2,816.61/4,225.75 = 842.30/x
  3. Step 3: Cross multiply
    2,816.61x = 4,225.75 × 842.30
  4. Step 4: Simplify right side
    2,816.61x = 3,559,346.57
  5. Step 5: Solve for x
    x = 3,559,346.57/2,816.61
  6. Step 6: Final answer
    x = 1,263.70

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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.