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Finding the Fourth Proportional to 43,478.32, 59,978.72 and 28,364

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Solution

The fourth proportional to 43,478.32, 59,978.72 and 28,364 is: 39,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,478.32 : 59,978.72 = 28,364 : x
  2. Step 2: Convert to fraction form
    43,478.32/59,978.72 = 28,364/x
  3. Step 3: Cross multiply
    43,478.32x = 59,978.72 × 28,364
  4. Step 4: Simplify right side
    43,478.32x = 1,701,236,414.08
  5. Step 5: Solve for x
    x = 1,701,236,414.08/43,478.32
  6. Step 6: Final answer
    x = 39,128.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.