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Finding the Fourth Proportional to 7,813.92, 10,774.61 and 4,978.11

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Solution

The fourth proportional to 7,813.92, 10,774.61 and 4,978.11 is: 6,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.92 : 10,774.61 = 4,978.11 : x
  2. Step 2: Convert to fraction form
    7,813.92/10,774.61 = 4,978.11/x
  3. Step 3: Cross multiply
    7,813.92x = 10,774.61 × 4,978.11
  4. Step 4: Simplify right side
    7,813.92x = 53,637,147.16
  5. Step 5: Solve for x
    x = 53,637,147.16/7,813.92
  6. Step 6: Final answer
    x = 6,864.31

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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.