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Finding the Fourth Proportional to 3,405.35, 4,699.10 and 1,913.15

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Solution

The fourth proportional to 3,405.35, 4,699.10 and 1,913.15 is: 2,639.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.35 : 4,699.10 = 1,913.15 : x
  2. Step 2: Convert to fraction form
    3,405.35/4,699.10 = 1,913.15/x
  3. Step 3: Cross multiply
    3,405.35x = 4,699.10 × 1,913.15
  4. Step 4: Simplify right side
    3,405.35x = 8,990,073.60
  5. Step 5: Solve for x
    x = 8,990,073.60/3,405.35
  6. Step 6: Final answer
    x = 2,639.99

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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.