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Finding the Fourth Proportional to 12,803.40, 19,203.48 and 4,039.20

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Solution

The fourth proportional to 12,803.40, 19,203.48 and 4,039.20 is: 6,058.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.40 : 19,203.48 = 4,039.20 : x
  2. Step 2: Convert to fraction form
    12,803.40/19,203.48 = 4,039.20/x
  3. Step 3: Cross multiply
    12,803.40x = 19,203.48 × 4,039.20
  4. Step 4: Simplify right side
    12,803.40x = 77,566,696.42
  5. Step 5: Solve for x
    x = 77,566,696.42/12,803.40
  6. Step 6: Final answer
    x = 6,058.29

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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.