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Finding the Fourth Proportional to 28,577.22, 42,868.62 and 9,854.79

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Solution

The fourth proportional to 28,577.22, 42,868.62 and 9,854.79 is: 14,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,577.22 : 42,868.62 = 9,854.79 : x
  2. Step 2: Convert to fraction form
    28,577.22/42,868.62 = 9,854.79/x
  3. Step 3: Cross multiply
    28,577.22x = 42,868.62 × 9,854.79
  4. Step 4: Simplify right side
    28,577.22x = 422,461,247.69
  5. Step 5: Solve for x
    x = 422,461,247.69/28,577.22
  6. Step 6: Final answer
    x = 14,783.15

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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.