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Finding the Fourth Proportional to 9,299.56, 12,829.44 and 7,877.20

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Solution

The fourth proportional to 9,299.56, 12,829.44 and 7,877.20 is: 10,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.56 : 12,829.44 = 7,877.20 : x
  2. Step 2: Convert to fraction form
    9,299.56/12,829.44 = 7,877.20/x
  3. Step 3: Cross multiply
    9,299.56x = 12,829.44 × 7,877.20
  4. Step 4: Simplify right side
    9,299.56x = 101,060,064.77
  5. Step 5: Solve for x
    x = 101,060,064.77/9,299.56
  6. Step 6: Final answer
    x = 10,867.19

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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.