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Finding the Fourth Proportional to 28,224, 42,334.65 and 7,164.63

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Solution

The fourth proportional to 28,224, 42,334.65 and 7,164.63 is: 10,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224 : 42,334.65 = 7,164.63 : x
  2. Step 2: Convert to fraction form
    28,224/42,334.65 = 7,164.63/x
  3. Step 3: Cross multiply
    28,224x = 42,334.65 × 7,164.63
  4. Step 4: Simplify right side
    28,224x = 303,312,103.43
  5. Step 5: Solve for x
    x = 303,312,103.43/28,224
  6. Step 6: Final answer
    x = 10,746.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.