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Finding the Fourth Proportional to 28,483.74, 42,729.03 and 11,854.98

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Solution

The fourth proportional to 28,483.74, 42,729.03 and 11,854.98 is: 17,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,483.74 : 42,729.03 = 11,854.98 : x
  2. Step 2: Convert to fraction form
    28,483.74/42,729.03 = 11,854.98/x
  3. Step 3: Cross multiply
    28,483.74x = 42,729.03 × 11,854.98
  4. Step 4: Simplify right side
    28,483.74x = 506,551,796.07
  5. Step 5: Solve for x
    x = 506,551,796.07/28,483.74
  6. Step 6: Final answer
    x = 17,783.89

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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.