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Finding the Fourth Proportional to 4,911.84, 7,380 and 4,358.88

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Solution

The fourth proportional to 4,911.84, 7,380 and 4,358.88 is: 6,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.84 : 7,380 = 4,358.88 : x
  2. Step 2: Convert to fraction form
    4,911.84/7,380 = 4,358.88/x
  3. Step 3: Cross multiply
    4,911.84x = 7,380 × 4,358.88
  4. Step 4: Simplify right side
    4,911.84x = 32,168,534.40
  5. Step 5: Solve for x
    x = 32,168,534.40/4,911.84
  6. Step 6: Final answer
    x = 6,549.18

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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.