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Finding the Fourth Proportional to 7,813.73, 10,777.37 and 4,978.16

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Solution

The fourth proportional to 7,813.73, 10,777.37 and 4,978.16 is: 6,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.73 : 10,777.37 = 4,978.16 : x
  2. Step 2: Convert to fraction form
    7,813.73/10,777.37 = 4,978.16/x
  3. Step 3: Cross multiply
    7,813.73x = 10,777.37 × 4,978.16
  4. Step 4: Simplify right side
    7,813.73x = 53,651,472.24
  5. Step 5: Solve for x
    x = 53,651,472.24/7,813.73
  6. Step 6: Final answer
    x = 6,866.31

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1.5x scale

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.