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Finding the Fourth Proportional to 28,197, 42,298.36 and 10,432.35

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Solution

The fourth proportional to 28,197, 42,298.36 and 10,432.35 is: 15,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,197 : 42,298.36 = 10,432.35 : x
  2. Step 2: Convert to fraction form
    28,197/42,298.36 = 10,432.35/x
  3. Step 3: Cross multiply
    28,197x = 42,298.36 × 10,432.35
  4. Step 4: Simplify right side
    28,197x = 441,271,269.87
  5. Step 5: Solve for x
    x = 441,271,269.87/28,197
  6. Step 6: Final answer
    x = 15,649.58

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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.