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Finding the Fourth Proportional to 7,842.60, 11,008.80 and 7,842.60

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Solution

The fourth proportional to 7,842.60, 11,008.80 and 7,842.60 is: 11,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.60 : 11,008.80 = 7,842.60 : x
  2. Step 2: Convert to fraction form
    7,842.60/11,008.80 = 7,842.60/x
  3. Step 3: Cross multiply
    7,842.60x = 11,008.80 × 7,842.60
  4. Step 4: Simplify right side
    7,842.60x = 86,337,614.88
  5. Step 5: Solve for x
    x = 86,337,614.88/7,842.60
  6. Step 6: Final answer
    x = 11,008.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.