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Finding the Fourth Proportional to 7,613.72, 11,420.58 and 2,420

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Solution

The fourth proportional to 7,613.72, 11,420.58 and 2,420 is: 3,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.72 : 11,420.58 = 2,420 : x
  2. Step 2: Convert to fraction form
    7,613.72/11,420.58 = 2,420/x
  3. Step 3: Cross multiply
    7,613.72x = 11,420.58 × 2,420
  4. Step 4: Simplify right side
    7,613.72x = 27,637,803.60
  5. Step 5: Solve for x
    x = 27,637,803.60/7,613.72
  6. Step 6: Final answer
    x = 3,630

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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.