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Finding the Fourth Proportional to 7,081.40, 9,774.06 and 4,287.80

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Solution

The fourth proportional to 7,081.40, 9,774.06 and 4,287.80 is: 5,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.40 : 9,774.06 = 4,287.80 : x
  2. Step 2: Convert to fraction form
    7,081.40/9,774.06 = 4,287.80/x
  3. Step 3: Cross multiply
    7,081.40x = 9,774.06 × 4,287.80
  4. Step 4: Simplify right side
    7,081.40x = 41,909,214.47
  5. Step 5: Solve for x
    x = 41,909,214.47/7,081.40
  6. Step 6: Final answer
    x = 5,918.21

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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.