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Finding the Fourth Proportional to 28,608, 42,913.28 and 9,888

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Solution

The fourth proportional to 28,608, 42,913.28 and 9,888 is: 14,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,608 : 42,913.28 = 9,888 : x
  2. Step 2: Convert to fraction form
    28,608/42,913.28 = 9,888/x
  3. Step 3: Cross multiply
    28,608x = 42,913.28 × 9,888
  4. Step 4: Simplify right side
    28,608x = 424,326,512.64
  5. Step 5: Solve for x
    x = 424,326,512.64/28,608
  6. Step 6: Final answer
    x = 14,832.44

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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.