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Finding the Fourth Proportional to 12,866.31, 19,289.16 and 8,451.45

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Solution

The fourth proportional to 12,866.31, 19,289.16 and 8,451.45 is: 12,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.31 : 19,289.16 = 8,451.45 : x
  2. Step 2: Convert to fraction form
    12,866.31/19,289.16 = 8,451.45/x
  3. Step 3: Cross multiply
    12,866.31x = 19,289.16 × 8,451.45
  4. Step 4: Simplify right side
    12,866.31x = 163,021,371.28
  5. Step 5: Solve for x
    x = 163,021,371.28/12,866.31
  6. Step 6: Final answer
    x = 12,670.41

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1.5x scale

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.