Home / 12,787.84-19,181.76-7,312

Finding the Fourth Proportional to 12,787.84, 19,181.76 and 7,312

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Solution

The fourth proportional to 12,787.84, 19,181.76 and 7,312 is: 10,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.84 : 19,181.76 = 7,312 : x
  2. Step 2: Convert to fraction form
    12,787.84/19,181.76 = 7,312/x
  3. Step 3: Cross multiply
    12,787.84x = 19,181.76 × 7,312
  4. Step 4: Simplify right side
    12,787.84x = 140,257,029.12
  5. Step 5: Solve for x
    x = 140,257,029.12/12,787.84
  6. Step 6: Final answer
    x = 10,968.00

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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.