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Finding the Fourth Proportional to 9,715, 14,572.56 and 3,873.08

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Solution

The fourth proportional to 9,715, 14,572.56 and 3,873.08 is: 5,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715 : 14,572.56 = 3,873.08 : x
  2. Step 2: Convert to fraction form
    9,715/14,572.56 = 3,873.08/x
  3. Step 3: Cross multiply
    9,715x = 14,572.56 × 3,873.08
  4. Step 4: Simplify right side
    9,715x = 56,440,690.68
  5. Step 5: Solve for x
    x = 56,440,690.68/9,715
  6. Step 6: Final answer
    x = 5,809.64

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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.