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Finding the Fourth Proportional to 28,548.54, 42,812.16 and 9,823.28

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Solution

The fourth proportional to 28,548.54, 42,812.16 and 9,823.28 is: 14,731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,548.54 : 42,812.16 = 9,823.28 : x
  2. Step 2: Convert to fraction form
    28,548.54/42,812.16 = 9,823.28/x
  3. Step 3: Cross multiply
    28,548.54x = 42,812.16 × 9,823.28
  4. Step 4: Simplify right side
    28,548.54x = 420,555,835.08
  5. Step 5: Solve for x
    x = 420,555,835.08/28,548.54
  6. Step 6: Final answer
    x = 14,731.26

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1.5x scale

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.