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Finding the Fourth Proportional to 9,412.78, 14,124.60 and 5,030.20

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Solution

The fourth proportional to 9,412.78, 14,124.60 and 5,030.20 is: 7,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.78 : 14,124.60 = 5,030.20 : x
  2. Step 2: Convert to fraction form
    9,412.78/14,124.60 = 5,030.20/x
  3. Step 3: Cross multiply
    9,412.78x = 14,124.60 × 5,030.20
  4. Step 4: Simplify right side
    9,412.78x = 71,049,562.92
  5. Step 5: Solve for x
    x = 71,049,562.92/9,412.78
  6. Step 6: Final answer
    x = 7,548.20

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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.