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Finding the Fourth Proportional to 12,908.16, 19,362.24 and 7,709.76

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Solution

The fourth proportional to 12,908.16, 19,362.24 and 7,709.76 is: 11,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.16 : 19,362.24 = 7,709.76 : x
  2. Step 2: Convert to fraction form
    12,908.16/19,362.24 = 7,709.76/x
  3. Step 3: Cross multiply
    12,908.16x = 19,362.24 × 7,709.76
  4. Step 4: Simplify right side
    12,908.16x = 149,278,223.46
  5. Step 5: Solve for x
    x = 149,278,223.46/12,908.16
  6. Step 6: Final answer
    x = 11,564.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.