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Finding the Fourth Proportional to 10,302.80, 14,219.40 and 8,728.40

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Solution

The fourth proportional to 10,302.80, 14,219.40 and 8,728.40 is: 12,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.80 : 14,219.40 = 8,728.40 : x
  2. Step 2: Convert to fraction form
    10,302.80/14,219.40 = 8,728.40/x
  3. Step 3: Cross multiply
    10,302.80x = 14,219.40 × 8,728.40
  4. Step 4: Simplify right side
    10,302.80x = 124,112,610.96
  5. Step 5: Solve for x
    x = 124,112,610.96/10,302.80
  6. Step 6: Final answer
    x = 12,046.49

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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.