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Finding the Fourth Proportional to 9,409.53, 12,991.28 and 6,424.28

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Solution

The fourth proportional to 9,409.53, 12,991.28 and 6,424.28 is: 8,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.53 : 12,991.28 = 6,424.28 : x
  2. Step 2: Convert to fraction form
    9,409.53/12,991.28 = 6,424.28/x
  3. Step 3: Cross multiply
    9,409.53x = 12,991.28 × 6,424.28
  4. Step 4: Simplify right side
    9,409.53x = 83,459,620.28
  5. Step 5: Solve for x
    x = 83,459,620.28/9,409.53
  6. Step 6: Final answer
    x = 8,869.69

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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.