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Finding the Fourth Proportional to 7,705.68, 10,654.57 and 6,721.53

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Solution

The fourth proportional to 7,705.68, 10,654.57 and 6,721.53 is: 9,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.68 : 10,654.57 = 6,721.53 : x
  2. Step 2: Convert to fraction form
    7,705.68/10,654.57 = 6,721.53/x
  3. Step 3: Cross multiply
    7,705.68x = 10,654.57 × 6,721.53
  4. Step 4: Simplify right side
    7,705.68x = 71,615,011.89
  5. Step 5: Solve for x
    x = 71,615,011.89/7,705.68
  6. Step 6: Final answer
    x = 9,293.80

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1.5x scale

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.