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Finding the Fourth Proportional to 6,281, 9,430.74 and 3,513.09

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Solution

The fourth proportional to 6,281, 9,430.74 and 3,513.09 is: 5,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281 : 9,430.74 = 3,513.09 : x
  2. Step 2: Convert to fraction form
    6,281/9,430.74 = 3,513.09/x
  3. Step 3: Cross multiply
    6,281x = 9,430.74 × 3,513.09
  4. Step 4: Simplify right side
    6,281x = 33,131,038.39
  5. Step 5: Solve for x
    x = 33,131,038.39/6,281
  6. Step 6: Final answer
    x = 5,274.80

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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.