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Finding the Fourth Proportional to 5,210.30, 7,813.90 and 2,838

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Solution

The fourth proportional to 5,210.30, 7,813.90 and 2,838 is: 4,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.30 : 7,813.90 = 2,838 : x
  2. Step 2: Convert to fraction form
    5,210.30/7,813.90 = 2,838/x
  3. Step 3: Cross multiply
    5,210.30x = 7,813.90 × 2,838
  4. Step 4: Simplify right side
    5,210.30x = 22,175,848.20
  5. Step 5: Solve for x
    x = 22,175,848.20/5,210.30
  6. Step 6: Final answer
    x = 4,256.16

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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.