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Finding the Fourth Proportional to 6,532.84, 9,015.50 and 3,548.88

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Solution

The fourth proportional to 6,532.84, 9,015.50 and 3,548.88 is: 4,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.84 : 9,015.50 = 3,548.88 : x
  2. Step 2: Convert to fraction form
    6,532.84/9,015.50 = 3,548.88/x
  3. Step 3: Cross multiply
    6,532.84x = 9,015.50 × 3,548.88
  4. Step 4: Simplify right side
    6,532.84x = 31,994,936.51
  5. Step 5: Solve for x
    x = 31,994,936.51/6,532.84
  6. Step 6: Final answer
    x = 4,897.56

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1.5x scale

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.