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Finding the Fourth Proportional to 7,842.88, 10,816.08 and 5,192.92

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Solution

The fourth proportional to 7,842.88, 10,816.08 and 5,192.92 is: 7,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.88 : 10,816.08 = 5,192.92 : x
  2. Step 2: Convert to fraction form
    7,842.88/10,816.08 = 5,192.92/x
  3. Step 3: Cross multiply
    7,842.88x = 10,816.08 × 5,192.92
  4. Step 4: Simplify right side
    7,842.88x = 56,167,038.15
  5. Step 5: Solve for x
    x = 56,167,038.15/7,842.88
  6. Step 6: Final answer
    x = 7,161.53

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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.