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Finding the Fourth Proportional to 28,009.76, 42,002.76 and 8,283.02

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Solution

The fourth proportional to 28,009.76, 42,002.76 and 8,283.02 is: 12,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,009.76 : 42,002.76 = 8,283.02 : x
  2. Step 2: Convert to fraction form
    28,009.76/42,002.76 = 8,283.02/x
  3. Step 3: Cross multiply
    28,009.76x = 42,002.76 × 8,283.02
  4. Step 4: Simplify right side
    28,009.76x = 347,909,701.14
  5. Step 5: Solve for x
    x = 347,909,701.14/28,009.76
  6. Step 6: Final answer
    x = 12,421.02

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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.