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Finding the Fourth Proportional to 7,154.64, 10,734.39 and 3,457.40

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Solution

The fourth proportional to 7,154.64, 10,734.39 and 3,457.40 is: 5,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.64 : 10,734.39 = 3,457.40 : x
  2. Step 2: Convert to fraction form
    7,154.64/10,734.39 = 3,457.40/x
  3. Step 3: Cross multiply
    7,154.64x = 10,734.39 × 3,457.40
  4. Step 4: Simplify right side
    7,154.64x = 37,113,026.31
  5. Step 5: Solve for x
    x = 37,113,026.31/7,154.64
  6. Step 6: Final answer
    x = 5,187.27

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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.