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Finding the Fourth Proportional to 9,912.29, 13,695.95 and 9,557.51

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Solution

The fourth proportional to 9,912.29, 13,695.95 and 9,557.51 is: 13,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.29 : 13,695.95 = 9,557.51 : x
  2. Step 2: Convert to fraction form
    9,912.29/13,695.95 = 9,557.51/x
  3. Step 3: Cross multiply
    9,912.29x = 13,695.95 × 9,557.51
  4. Step 4: Simplify right side
    9,912.29x = 130,899,179.08
  5. Step 5: Solve for x
    x = 130,899,179.08/9,912.29
  6. Step 6: Final answer
    x = 13,205.75

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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.