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Finding the Fourth Proportional to 7,211.60, 10,817.40 and 6,871.40

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Solution

The fourth proportional to 7,211.60, 10,817.40 and 6,871.40 is: 10,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.60 : 10,817.40 = 6,871.40 : x
  2. Step 2: Convert to fraction form
    7,211.60/10,817.40 = 6,871.40/x
  3. Step 3: Cross multiply
    7,211.60x = 10,817.40 × 6,871.40
  4. Step 4: Simplify right side
    7,211.60x = 74,330,682.36
  5. Step 5: Solve for x
    x = 74,330,682.36/7,211.60
  6. Step 6: Final answer
    x = 10,307.10

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1.5x scale

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.