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Finding the Fourth Proportional to 10,838.81, 14,947.53 and 8,321.01

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Solution

The fourth proportional to 10,838.81, 14,947.53 and 8,321.01 is: 11,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.81 : 14,947.53 = 8,321.01 : x
  2. Step 2: Convert to fraction form
    10,838.81/14,947.53 = 8,321.01/x
  3. Step 3: Cross multiply
    10,838.81x = 14,947.53 × 8,321.01
  4. Step 4: Simplify right side
    10,838.81x = 124,378,546.61
  5. Step 5: Solve for x
    x = 124,378,546.61/10,838.81
  6. Step 6: Final answer
    x = 11,475.30

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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.