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Finding the Fourth Proportional to 28,129.64, 42,170.16 and 13,331

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Solution

The fourth proportional to 28,129.64, 42,170.16 and 13,331 is: 19,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,129.64 : 42,170.16 = 13,331 : x
  2. Step 2: Convert to fraction form
    28,129.64/42,170.16 = 13,331/x
  3. Step 3: Cross multiply
    28,129.64x = 42,170.16 × 13,331
  4. Step 4: Simplify right side
    28,129.64x = 562,170,402.96
  5. Step 5: Solve for x
    x = 562,170,402.96/28,129.64
  6. Step 6: Final answer
    x = 19,984.98

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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.