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Finding the Fourth Proportional to 9,134.99, 12,606.86 and 5,154.65

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Solution

The fourth proportional to 9,134.99, 12,606.86 and 5,154.65 is: 7,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.99 : 12,606.86 = 5,154.65 : x
  2. Step 2: Convert to fraction form
    9,134.99/12,606.86 = 5,154.65/x
  3. Step 3: Cross multiply
    9,134.99x = 12,606.86 × 5,154.65
  4. Step 4: Simplify right side
    9,134.99x = 64,983,900.75
  5. Step 5: Solve for x
    x = 64,983,900.75/9,134.99
  6. Step 6: Final answer
    x = 7,113.74

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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.