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Finding the Fourth Proportional to 7,110.56, 9,809.88 and 4,457

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Solution

The fourth proportional to 7,110.56, 9,809.88 and 4,457 is: 6,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.56 : 9,809.88 = 4,457 : x
  2. Step 2: Convert to fraction form
    7,110.56/9,809.88 = 4,457/x
  3. Step 3: Cross multiply
    7,110.56x = 9,809.88 × 4,457
  4. Step 4: Simplify right side
    7,110.56x = 43,722,635.16
  5. Step 5: Solve for x
    x = 43,722,635.16/7,110.56
  6. Step 6: Final answer
    x = 6,148.97

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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.