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Finding the Fourth Proportional to 5,315.84, 7,966.08 and 3,488

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Solution

The fourth proportional to 5,315.84, 7,966.08 and 3,488 is: 5,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.84 : 7,966.08 = 3,488 : x
  2. Step 2: Convert to fraction form
    5,315.84/7,966.08 = 3,488/x
  3. Step 3: Cross multiply
    5,315.84x = 7,966.08 × 3,488
  4. Step 4: Simplify right side
    5,315.84x = 27,785,687.04
  5. Step 5: Solve for x
    x = 27,785,687.04/5,315.84
  6. Step 6: Final answer
    x = 5,226.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.