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Finding the Fourth Proportional to 7,389, 10,196.82 and 5,035.24

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Solution

The fourth proportional to 7,389, 10,196.82 and 5,035.24 is: 6,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389 : 10,196.82 = 5,035.24 : x
  2. Step 2: Convert to fraction form
    7,389/10,196.82 = 5,035.24/x
  3. Step 3: Cross multiply
    7,389x = 10,196.82 × 5,035.24
  4. Step 4: Simplify right side
    7,389x = 51,343,448.68
  5. Step 5: Solve for x
    x = 51,343,448.68/7,389
  6. Step 6: Final answer
    x = 6,948.63

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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.