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Finding the Fourth Proportional to 9,964.24, 13,750.28 and 6,428.24

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Solution

The fourth proportional to 9,964.24, 13,750.28 and 6,428.24 is: 8,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.24 : 13,750.28 = 6,428.24 : x
  2. Step 2: Convert to fraction form
    9,964.24/13,750.28 = 6,428.24/x
  3. Step 3: Cross multiply
    9,964.24x = 13,750.28 × 6,428.24
  4. Step 4: Simplify right side
    9,964.24x = 88,390,099.91
  5. Step 5: Solve for x
    x = 88,390,099.91/9,964.24
  6. Step 6: Final answer
    x = 8,870.73

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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.