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Finding the Fourth Proportional to 9,071.34, 12,509.24 and 8,542.20

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Solution

The fourth proportional to 9,071.34, 12,509.24 and 8,542.20 is: 11,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.34 : 12,509.24 = 8,542.20 : x
  2. Step 2: Convert to fraction form
    9,071.34/12,509.24 = 8,542.20/x
  3. Step 3: Cross multiply
    9,071.34x = 12,509.24 × 8,542.20
  4. Step 4: Simplify right side
    9,071.34x = 106,856,429.93
  5. Step 5: Solve for x
    x = 106,856,429.93/9,071.34
  6. Step 6: Final answer
    x = 11,779.56

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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.