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Finding the Fourth Proportional to 9,649.84, 13,318.08 and 5,458

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Solution

The fourth proportional to 9,649.84, 13,318.08 and 5,458 is: 7,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.84 : 13,318.08 = 5,458 : x
  2. Step 2: Convert to fraction form
    9,649.84/13,318.08 = 5,458/x
  3. Step 3: Cross multiply
    9,649.84x = 13,318.08 × 5,458
  4. Step 4: Simplify right side
    9,649.84x = 72,690,080.64
  5. Step 5: Solve for x
    x = 72,690,080.64/9,649.84
  6. Step 6: Final answer
    x = 7,532.78

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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.