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Finding the Fourth Proportional to 9,318, 12,858.84 and 5,126.16

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Solution

The fourth proportional to 9,318, 12,858.84 and 5,126.16 is: 7,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318 : 12,858.84 = 5,126.16 : x
  2. Step 2: Convert to fraction form
    9,318/12,858.84 = 5,126.16/x
  3. Step 3: Cross multiply
    9,318x = 12,858.84 × 5,126.16
  4. Step 4: Simplify right side
    9,318x = 65,916,471.25
  5. Step 5: Solve for x
    x = 65,916,471.25/9,318
  6. Step 6: Final answer
    x = 7,074.10

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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.