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Finding the Fourth Proportional to 10,005.48, 13,821.48 and 7,225.56

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Solution

The fourth proportional to 10,005.48, 13,821.48 and 7,225.56 is: 9,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.48 : 13,821.48 = 7,225.56 : x
  2. Step 2: Convert to fraction form
    10,005.48/13,821.48 = 7,225.56/x
  3. Step 3: Cross multiply
    10,005.48x = 13,821.48 × 7,225.56
  4. Step 4: Simplify right side
    10,005.48x = 99,867,933.03
  5. Step 5: Solve for x
    x = 99,867,933.03/10,005.48
  6. Step 6: Final answer
    x = 9,981.32

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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.