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Finding the Fourth Proportional to 7,121.90, 9,824.12 and 4,287.31

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Solution

The fourth proportional to 7,121.90, 9,824.12 and 4,287.31 is: 5,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.90 : 9,824.12 = 4,287.31 : x
  2. Step 2: Convert to fraction form
    7,121.90/9,824.12 = 4,287.31/x
  3. Step 3: Cross multiply
    7,121.90x = 9,824.12 × 4,287.31
  4. Step 4: Simplify right side
    7,121.90x = 42,119,018.00
  5. Step 5: Solve for x
    x = 42,119,018.00/7,121.90
  6. Step 6: Final answer
    x = 5,914.01

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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.