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Finding the Fourth Proportional to 3,435, 4,740.30 and 2,038.02

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Solution

The fourth proportional to 3,435, 4,740.30 and 2,038.02 is: 2,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435 : 4,740.30 = 2,038.02 : x
  2. Step 2: Convert to fraction form
    3,435/4,740.30 = 2,038.02/x
  3. Step 3: Cross multiply
    3,435x = 4,740.30 × 2,038.02
  4. Step 4: Simplify right side
    3,435x = 9,660,826.21
  5. Step 5: Solve for x
    x = 9,660,826.21/3,435
  6. Step 6: Final answer
    x = 2,812.47

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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.