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Finding the Fourth Proportional to 12,812.82, 19,206.04 and 4,913.18

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Solution

The fourth proportional to 12,812.82, 19,206.04 and 4,913.18 is: 7,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.82 : 19,206.04 = 4,913.18 : x
  2. Step 2: Convert to fraction form
    12,812.82/19,206.04 = 4,913.18/x
  3. Step 3: Cross multiply
    12,812.82x = 19,206.04 × 4,913.18
  4. Step 4: Simplify right side
    12,812.82x = 94,362,731.61
  5. Step 5: Solve for x
    x = 94,362,731.61/12,812.82
  6. Step 6: Final answer
    x = 7,364.71

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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.