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Finding the Fourth Proportional to 7,854.95, 11,782.57 and 6,287.68

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Solution

The fourth proportional to 7,854.95, 11,782.57 and 6,287.68 is: 9,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.95 : 11,782.57 = 6,287.68 : x
  2. Step 2: Convert to fraction form
    7,854.95/11,782.57 = 6,287.68/x
  3. Step 3: Cross multiply
    7,854.95x = 11,782.57 × 6,287.68
  4. Step 4: Simplify right side
    7,854.95x = 74,084,970.82
  5. Step 5: Solve for x
    x = 74,084,970.82/7,854.95
  6. Step 6: Final answer
    x = 9,431.63

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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.