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Finding the Fourth Proportional to 13,350.95, 20,029.25 and 5,030.78

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Solution

The fourth proportional to 13,350.95, 20,029.25 and 5,030.78 is: 7,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350.95 : 20,029.25 = 5,030.78 : x
  2. Step 2: Convert to fraction form
    13,350.95/20,029.25 = 5,030.78/x
  3. Step 3: Cross multiply
    13,350.95x = 20,029.25 × 5,030.78
  4. Step 4: Simplify right side
    13,350.95x = 100,762,775.23
  5. Step 5: Solve for x
    x = 100,762,775.23/13,350.95
  6. Step 6: Final answer
    x = 7,547.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.