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Finding the Fourth Proportional to 28,182.64, 42,274.32 and 13,393

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Solution

The fourth proportional to 28,182.64, 42,274.32 and 13,393 is: 20,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.64 : 42,274.32 = 13,393 : x
  2. Step 2: Convert to fraction form
    28,182.64/42,274.32 = 13,393/x
  3. Step 3: Cross multiply
    28,182.64x = 42,274.32 × 13,393
  4. Step 4: Simplify right side
    28,182.64x = 566,179,967.76
  5. Step 5: Solve for x
    x = 566,179,967.76/28,182.64
  6. Step 6: Final answer
    x = 20,089.67

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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.