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Finding the Fourth Proportional to 7,842.60, 11,780.30 and 6,612.41

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Solution

The fourth proportional to 7,842.60, 11,780.30 and 6,612.41 is: 9,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.60 : 11,780.30 = 6,612.41 : x
  2. Step 2: Convert to fraction form
    7,842.60/11,780.30 = 6,612.41/x
  3. Step 3: Cross multiply
    7,842.60x = 11,780.30 × 6,612.41
  4. Step 4: Simplify right side
    7,842.60x = 77,896,219.50
  5. Step 5: Solve for x
    x = 77,896,219.50/7,842.60
  6. Step 6: Final answer
    x = 9,932.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.