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Finding the Fourth Proportional to 19,116.76, 28,692.42 and 8,031.64

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Solution

The fourth proportional to 19,116.76, 28,692.42 and 8,031.64 is: 12,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,116.76 : 28,692.42 = 8,031.64 : x
  2. Step 2: Convert to fraction form
    19,116.76/28,692.42 = 8,031.64/x
  3. Step 3: Cross multiply
    19,116.76x = 28,692.42 × 8,031.64
  4. Step 4: Simplify right side
    19,116.76x = 230,447,188.17
  5. Step 5: Solve for x
    x = 230,447,188.17/19,116.76
  6. Step 6: Final answer
    x = 12,054.72

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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.