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Finding the Fourth Proportional to 28,266, 42,418.44 and 9,798

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Solution

The fourth proportional to 28,266, 42,418.44 and 9,798 is: 14,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,266 : 42,418.44 = 9,798 : x
  2. Step 2: Convert to fraction form
    28,266/42,418.44 = 9,798/x
  3. Step 3: Cross multiply
    28,266x = 42,418.44 × 9,798
  4. Step 4: Simplify right side
    28,266x = 415,615,875.12
  5. Step 5: Solve for x
    x = 415,615,875.12/28,266
  6. Step 6: Final answer
    x = 14,703.74

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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.