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Finding the Fourth Proportional to 4,322, 6,471.48 and 3,544.40

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Solution

The fourth proportional to 4,322, 6,471.48 and 3,544.40 is: 5,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322 : 6,471.48 = 3,544.40 : x
  2. Step 2: Convert to fraction form
    4,322/6,471.48 = 3,544.40/x
  3. Step 3: Cross multiply
    4,322x = 6,471.48 × 3,544.40
  4. Step 4: Simplify right side
    4,322x = 22,937,513.71
  5. Step 5: Solve for x
    x = 22,937,513.71/4,322
  6. Step 6: Final answer
    x = 5,307.15

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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.