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Finding the Fourth Proportional to 7,001.78, 9,661.58 and 4,738.07

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Solution

The fourth proportional to 7,001.78, 9,661.58 and 4,738.07 is: 6,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.78 : 9,661.58 = 4,738.07 : x
  2. Step 2: Convert to fraction form
    7,001.78/9,661.58 = 4,738.07/x
  3. Step 3: Cross multiply
    7,001.78x = 9,661.58 × 4,738.07
  4. Step 4: Simplify right side
    7,001.78x = 45,777,170.35
  5. Step 5: Solve for x
    x = 45,777,170.35/7,001.78
  6. Step 6: Final answer
    x = 6,537.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.