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Finding the Fourth Proportional to 5,316.84, 7,967.58 and 3,489

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Solution

The fourth proportional to 5,316.84, 7,967.58 and 3,489 is: 5,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.84 : 7,967.58 = 3,489 : x
  2. Step 2: Convert to fraction form
    5,316.84/7,967.58 = 3,489/x
  3. Step 3: Cross multiply
    5,316.84x = 7,967.58 × 3,489
  4. Step 4: Simplify right side
    5,316.84x = 27,798,886.62
  5. Step 5: Solve for x
    x = 27,798,886.62/5,316.84
  6. Step 6: Final answer
    x = 5,228.46

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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.