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Finding the Fourth Proportional to 12,699.60, 19,023.80 and 8,066

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Solution

The fourth proportional to 12,699.60, 19,023.80 and 8,066 is: 12,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,699.60 : 19,023.80 = 8,066 : x
  2. Step 2: Convert to fraction form
    12,699.60/19,023.80 = 8,066/x
  3. Step 3: Cross multiply
    12,699.60x = 19,023.80 × 8,066
  4. Step 4: Simplify right side
    12,699.60x = 153,445,970.80
  5. Step 5: Solve for x
    x = 153,445,970.80/12,699.60
  6. Step 6: Final answer
    x = 12,082.74

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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.