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Finding the Fourth Proportional to 9,639.68, 13,302.88 and 5,448

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Solution

The fourth proportional to 9,639.68, 13,302.88 and 5,448 is: 7,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.68 : 13,302.88 = 5,448 : x
  2. Step 2: Convert to fraction form
    9,639.68/13,302.88 = 5,448/x
  3. Step 3: Cross multiply
    9,639.68x = 13,302.88 × 5,448
  4. Step 4: Simplify right side
    9,639.68x = 72,474,090.24
  5. Step 5: Solve for x
    x = 72,474,090.24/9,639.68
  6. Step 6: Final answer
    x = 7,518.31

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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.