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Finding the Fourth Proportional to 19,130.16, 28,700.82 and 8,031

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Solution

The fourth proportional to 19,130.16, 28,700.82 and 8,031 is: 12,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,130.16 : 28,700.82 = 8,031 : x
  2. Step 2: Convert to fraction form
    19,130.16/28,700.82 = 8,031/x
  3. Step 3: Cross multiply
    19,130.16x = 28,700.82 × 8,031
  4. Step 4: Simplify right side
    19,130.16x = 230,496,285.42
  5. Step 5: Solve for x
    x = 230,496,285.42/19,130.16
  6. Step 6: Final answer
    x = 12,048.84

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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.