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Finding the Fourth Proportional to 5,113, 7,056.26 and 2,905

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Solution

The fourth proportional to 5,113, 7,056.26 and 2,905 is: 4,009.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113 : 7,056.26 = 2,905 : x
  2. Step 2: Convert to fraction form
    5,113/7,056.26 = 2,905/x
  3. Step 3: Cross multiply
    5,113x = 7,056.26 × 2,905
  4. Step 4: Simplify right side
    5,113x = 20,498,435.30
  5. Step 5: Solve for x
    x = 20,498,435.30/5,113
  6. Step 6: Final answer
    x = 4,009.08

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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.