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Finding the Fourth Proportional to 7,475.84, 11,214.99 and 2,280.50

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Solution

The fourth proportional to 7,475.84, 11,214.99 and 2,280.50 is: 3,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.84 : 11,214.99 = 2,280.50 : x
  2. Step 2: Convert to fraction form
    7,475.84/11,214.99 = 2,280.50/x
  3. Step 3: Cross multiply
    7,475.84x = 11,214.99 × 2,280.50
  4. Step 4: Simplify right side
    7,475.84x = 25,575,784.70
  5. Step 5: Solve for x
    x = 25,575,784.70/7,475.84
  6. Step 6: Final answer
    x = 3,421.13

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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.