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Finding the Fourth Proportional to 28,031.90, 42,048.02 and 8,310.64

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Solution

The fourth proportional to 28,031.90, 42,048.02 and 8,310.64 is: 12,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,031.90 : 42,048.02 = 8,310.64 : x
  2. Step 2: Convert to fraction form
    28,031.90/42,048.02 = 8,310.64/x
  3. Step 3: Cross multiply
    28,031.90x = 42,048.02 × 8,310.64
  4. Step 4: Simplify right side
    28,031.90x = 349,445,956.93
  5. Step 5: Solve for x
    x = 349,445,956.93/28,031.90
  6. Step 6: Final answer
    x = 12,466.01

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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.