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Finding the Fourth Proportional to 12,805.83, 19,201.14 and 5,009.13

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Solution

The fourth proportional to 12,805.83, 19,201.14 and 5,009.13 is: 7,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.83 : 19,201.14 = 5,009.13 : x
  2. Step 2: Convert to fraction form
    12,805.83/19,201.14 = 5,009.13/x
  3. Step 3: Cross multiply
    12,805.83x = 19,201.14 × 5,009.13
  4. Step 4: Simplify right side
    12,805.83x = 96,181,006.41
  5. Step 5: Solve for x
    x = 96,181,006.41/12,805.83
  6. Step 6: Final answer
    x = 7,510.72

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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.