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Finding the Fourth Proportional to 28,465.86, 42,701.76 and 9,747.84

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Solution

The fourth proportional to 28,465.86, 42,701.76 and 9,747.84 is: 14,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,465.86 : 42,701.76 = 9,747.84 : x
  2. Step 2: Convert to fraction form
    28,465.86/42,701.76 = 9,747.84/x
  3. Step 3: Cross multiply
    28,465.86x = 42,701.76 × 9,747.84
  4. Step 4: Simplify right side
    28,465.86x = 416,249,924.20
  5. Step 5: Solve for x
    x = 416,249,924.20/28,465.86
  6. Step 6: Final answer
    x = 14,622.78

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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.