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Finding the Fourth Proportional to 3,484.87, 4,802.48 and 3,420.82

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Solution

The fourth proportional to 3,484.87, 4,802.48 and 3,420.82 is: 4,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.87 : 4,802.48 = 3,420.82 : x
  2. Step 2: Convert to fraction form
    3,484.87/4,802.48 = 3,420.82/x
  3. Step 3: Cross multiply
    3,484.87x = 4,802.48 × 3,420.82
  4. Step 4: Simplify right side
    3,484.87x = 16,428,422.18
  5. Step 5: Solve for x
    x = 16,428,422.18/3,484.87
  6. Step 6: Final answer
    x = 4,714.21

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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.