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Finding the Fourth Proportional to 7,740.40, 10,684.80 and 5,224

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Solution

The fourth proportional to 7,740.40, 10,684.80 and 5,224 is: 7,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.40 : 10,684.80 = 5,224 : x
  2. Step 2: Convert to fraction form
    7,740.40/10,684.80 = 5,224/x
  3. Step 3: Cross multiply
    7,740.40x = 10,684.80 × 5,224
  4. Step 4: Simplify right side
    7,740.40x = 55,817,395.20
  5. Step 5: Solve for x
    x = 55,817,395.20/7,740.40
  6. Step 6: Final answer
    x = 7,211.18

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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.