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Finding the Fourth Proportional to 7,138.64, 10,705.29 and 2,457.32

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Solution

The fourth proportional to 7,138.64, 10,705.29 and 2,457.32 is: 3,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.64 : 10,705.29 = 2,457.32 : x
  2. Step 2: Convert to fraction form
    7,138.64/10,705.29 = 2,457.32/x
  3. Step 3: Cross multiply
    7,138.64x = 10,705.29 × 2,457.32
  4. Step 4: Simplify right side
    7,138.64x = 26,306,323.22
  5. Step 5: Solve for x
    x = 26,306,323.22/7,138.64
  6. Step 6: Final answer
    x = 3,685.06

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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.