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Finding the Fourth Proportional to 9,340.94, 12,895.82 and 6,163.40

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Solution

The fourth proportional to 9,340.94, 12,895.82 and 6,163.40 is: 8,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.94 : 12,895.82 = 6,163.40 : x
  2. Step 2: Convert to fraction form
    9,340.94/12,895.82 = 6,163.40/x
  3. Step 3: Cross multiply
    9,340.94x = 12,895.82 × 6,163.40
  4. Step 4: Simplify right side
    9,340.94x = 79,482,001.69
  5. Step 5: Solve for x
    x = 79,482,001.69/9,340.94
  6. Step 6: Final answer
    x = 8,509.00

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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.