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Finding the Fourth Proportional to 7,225.29, 9,971.96 and 4,242.76

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Solution

The fourth proportional to 7,225.29, 9,971.96 and 4,242.76 is: 5,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.29 : 9,971.96 = 4,242.76 : x
  2. Step 2: Convert to fraction form
    7,225.29/9,971.96 = 4,242.76/x
  3. Step 3: Cross multiply
    7,225.29x = 9,971.96 × 4,242.76
  4. Step 4: Simplify right side
    7,225.29x = 42,308,643.62
  5. Step 5: Solve for x
    x = 42,308,643.62/7,225.29
  6. Step 6: Final answer
    x = 5,855.63

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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.