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Finding the Fourth Proportional to 3,405.90, 4,700.64 and 1,913.94

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Solution

The fourth proportional to 3,405.90, 4,700.64 and 1,913.94 is: 2,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.90 : 4,700.64 = 1,913.94 : x
  2. Step 2: Convert to fraction form
    3,405.90/4,700.64 = 1,913.94/x
  3. Step 3: Cross multiply
    3,405.90x = 4,700.64 × 1,913.94
  4. Step 4: Simplify right side
    3,405.90x = 8,996,742.92
  5. Step 5: Solve for x
    x = 8,996,742.92/3,405.90
  6. Step 6: Final answer
    x = 2,641.52

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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.