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Finding the Fourth Proportional to 12,688.68, 19,054.80 and 7,787.10

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Solution

The fourth proportional to 12,688.68, 19,054.80 and 7,787.10 is: 11,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.68 : 19,054.80 = 7,787.10 : x
  2. Step 2: Convert to fraction form
    12,688.68/19,054.80 = 7,787.10/x
  3. Step 3: Cross multiply
    12,688.68x = 19,054.80 × 7,787.10
  4. Step 4: Simplify right side
    12,688.68x = 148,381,633.08
  5. Step 5: Solve for x
    x = 148,381,633.08/12,688.68
  6. Step 6: Final answer
    x = 11,694.02

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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.