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Finding the Fourth Proportional to 12,807.90, 19,233.45 and 12,419.10

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Solution

The fourth proportional to 12,807.90, 19,233.45 and 12,419.10 is: 18,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.90 : 19,233.45 = 12,419.10 : x
  2. Step 2: Convert to fraction form
    12,807.90/19,233.45 = 12,419.10/x
  3. Step 3: Cross multiply
    12,807.90x = 19,233.45 × 12,419.10
  4. Step 4: Simplify right side
    12,807.90x = 238,862,138.90
  5. Step 5: Solve for x
    x = 238,862,138.90/12,807.90
  6. Step 6: Final answer
    x = 18,649.59

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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.