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Finding the Fourth Proportional to 7,858.96, 11,788.58 and 6,291.68

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Solution

The fourth proportional to 7,858.96, 11,788.58 and 6,291.68 is: 9,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.96 : 11,788.58 = 6,291.68 : x
  2. Step 2: Convert to fraction form
    7,858.96/11,788.58 = 6,291.68/x
  3. Step 3: Cross multiply
    7,858.96x = 11,788.58 × 6,291.68
  4. Step 4: Simplify right side
    7,858.96x = 74,169,973.01
  5. Step 5: Solve for x
    x = 74,169,973.01/7,858.96
  6. Step 6: Final answer
    x = 9,437.63

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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.