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Finding the Fourth Proportional to 4,735, 7,103.70 and 1,813.72

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Solution

The fourth proportional to 4,735, 7,103.70 and 1,813.72 is: 2,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735 : 7,103.70 = 1,813.72 : x
  2. Step 2: Convert to fraction form
    4,735/7,103.70 = 1,813.72/x
  3. Step 3: Cross multiply
    4,735x = 7,103.70 × 1,813.72
  4. Step 4: Simplify right side
    4,735x = 12,884,122.76
  5. Step 5: Solve for x
    x = 12,884,122.76/4,735
  6. Step 6: Final answer
    x = 2,721.04

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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.