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Finding the Fourth Proportional to 1,348.48, 1,861.36 and 928.48

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Solution

The fourth proportional to 1,348.48, 1,861.36 and 928.48 is: 1,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.48 : 1,861.36 = 928.48 : x
  2. Step 2: Convert to fraction form
    1,348.48/1,861.36 = 928.48/x
  3. Step 3: Cross multiply
    1,348.48x = 1,861.36 × 928.48
  4. Step 4: Simplify right side
    1,348.48x = 1,728,235.53
  5. Step 5: Solve for x
    x = 1,728,235.53/1,348.48
  6. Step 6: Final answer
    x = 1,281.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.