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Finding the Fourth Proportional to 7,160, 9,880.98 and 4,016.84

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Solution

The fourth proportional to 7,160, 9,880.98 and 4,016.84 is: 5,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160 : 9,880.98 = 4,016.84 : x
  2. Step 2: Convert to fraction form
    7,160/9,880.98 = 4,016.84/x
  3. Step 3: Cross multiply
    7,160x = 9,880.98 × 4,016.84
  4. Step 4: Simplify right side
    7,160x = 39,690,315.70
  5. Step 5: Solve for x
    x = 39,690,315.70/7,160
  6. Step 6: Final answer
    x = 5,543.34

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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.