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Finding the Fourth Proportional to 10,002.80, 14,975.40 and 6,114.80

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Solution

The fourth proportional to 10,002.80, 14,975.40 and 6,114.80 is: 9,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.80 : 14,975.40 = 6,114.80 : x
  2. Step 2: Convert to fraction form
    10,002.80/14,975.40 = 6,114.80/x
  3. Step 3: Cross multiply
    10,002.80x = 14,975.40 × 6,114.80
  4. Step 4: Simplify right side
    10,002.80x = 91,571,575.92
  5. Step 5: Solve for x
    x = 91,571,575.92/10,002.80
  6. Step 6: Final answer
    x = 9,154.59

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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.