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Finding the Fourth Proportional to 7,219.86, 9,964.89 and 4,237.26

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Solution

The fourth proportional to 7,219.86, 9,964.89 and 4,237.26 is: 5,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.86 : 9,964.89 = 4,237.26 : x
  2. Step 2: Convert to fraction form
    7,219.86/9,964.89 = 4,237.26/x
  3. Step 3: Cross multiply
    7,219.86x = 9,964.89 × 4,237.26
  4. Step 4: Simplify right side
    7,219.86x = 42,223,829.80
  5. Step 5: Solve for x
    x = 42,223,829.80/7,219.86
  6. Step 6: Final answer
    x = 5,848.29

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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.