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Finding the Fourth Proportional to 7,814.88, 10,784.88 and 4,671

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Solution

The fourth proportional to 7,814.88, 10,784.88 and 4,671 is: 6,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.88 : 10,784.88 = 4,671 : x
  2. Step 2: Convert to fraction form
    7,814.88/10,784.88 = 4,671/x
  3. Step 3: Cross multiply
    7,814.88x = 10,784.88 × 4,671
  4. Step 4: Simplify right side
    7,814.88x = 50,376,174.48
  5. Step 5: Solve for x
    x = 50,376,174.48/7,814.88
  6. Step 6: Final answer
    x = 6,446.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.