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Finding the Fourth Proportional to 7,860.84, 11,784.24 and 2,927.04

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Solution

The fourth proportional to 7,860.84, 11,784.24 and 2,927.04 is: 4,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.84 : 11,784.24 = 2,927.04 : x
  2. Step 2: Convert to fraction form
    7,860.84/11,784.24 = 2,927.04/x
  3. Step 3: Cross multiply
    7,860.84x = 11,784.24 × 2,927.04
  4. Step 4: Simplify right side
    7,860.84x = 34,492,941.85
  5. Step 5: Solve for x
    x = 34,492,941.85/7,860.84
  6. Step 6: Final answer
    x = 4,387.95

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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.