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Finding the Fourth Proportional to 12,719.80, 19,053.54 and 7,513

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Solution

The fourth proportional to 12,719.80, 19,053.54 and 7,513 is: 11,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719.80 : 19,053.54 = 7,513 : x
  2. Step 2: Convert to fraction form
    12,719.80/19,053.54 = 7,513/x
  3. Step 3: Cross multiply
    12,719.80x = 19,053.54 × 7,513
  4. Step 4: Simplify right side
    12,719.80x = 143,149,246.02
  5. Step 5: Solve for x
    x = 143,149,246.02/12,719.80
  6. Step 6: Final answer
    x = 11,254.05

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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.