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Finding the Fourth Proportional to 3,807.47, 5,699.36 and 3,484.49

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Solution

The fourth proportional to 3,807.47, 5,699.36 and 3,484.49 is: 5,215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.47 : 5,699.36 = 3,484.49 : x
  2. Step 2: Convert to fraction form
    3,807.47/5,699.36 = 3,484.49/x
  3. Step 3: Cross multiply
    3,807.47x = 5,699.36 × 3,484.49
  4. Step 4: Simplify right side
    3,807.47x = 19,859,343.14
  5. Step 5: Solve for x
    x = 19,859,343.14/3,807.47
  6. Step 6: Final answer
    x = 5,215.89

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1.5x scale

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.