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Finding the Fourth Proportional to 9,672.78, 14,509.92 and 4,126.16

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Solution

The fourth proportional to 9,672.78, 14,509.92 and 4,126.16 is: 6,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.78 : 14,509.92 = 4,126.16 : x
  2. Step 2: Convert to fraction form
    9,672.78/14,509.92 = 4,126.16/x
  3. Step 3: Cross multiply
    9,672.78x = 14,509.92 × 4,126.16
  4. Step 4: Simplify right side
    9,672.78x = 59,870,251.51
  5. Step 5: Solve for x
    x = 59,870,251.51/9,672.78
  6. Step 6: Final answer
    x = 6,189.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.