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Finding the Fourth Proportional to 19,286, 28,931.88 and 6,976.88

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Solution

The fourth proportional to 19,286, 28,931.88 and 6,976.88 is: 10,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286 : 28,931.88 = 6,976.88 : x
  2. Step 2: Convert to fraction form
    19,286/28,931.88 = 6,976.88/x
  3. Step 3: Cross multiply
    19,286x = 28,931.88 × 6,976.88
  4. Step 4: Simplify right side
    19,286x = 201,854,254.93
  5. Step 5: Solve for x
    x = 201,854,254.93/19,286
  6. Step 6: Final answer
    x = 10,466.36

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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.