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Finding the Fourth Proportional to 9,298.69, 12,813.11 and 8,642.41

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Solution

The fourth proportional to 9,298.69, 12,813.11 and 8,642.41 is: 11,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.69 : 12,813.11 = 8,642.41 : x
  2. Step 2: Convert to fraction form
    9,298.69/12,813.11 = 8,642.41/x
  3. Step 3: Cross multiply
    9,298.69x = 12,813.11 × 8,642.41
  4. Step 4: Simplify right side
    9,298.69x = 110,736,085.93
  5. Step 5: Solve for x
    x = 110,736,085.93/9,298.69
  6. Step 6: Final answer
    x = 11,908.79

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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.