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Finding the Fourth Proportional to 20,978.40, 28,953.36 and 12,599.52

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Solution

The fourth proportional to 20,978.40, 28,953.36 and 12,599.52 is: 17,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.40 : 28,953.36 = 12,599.52 : x
  2. Step 2: Convert to fraction form
    20,978.40/28,953.36 = 12,599.52/x
  3. Step 3: Cross multiply
    20,978.40x = 28,953.36 × 12,599.52
  4. Step 4: Simplify right side
    20,978.40x = 364,798,438.39
  5. Step 5: Solve for x
    x = 364,798,438.39/20,978.40
  6. Step 6: Final answer
    x = 17,389.24

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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.