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Finding the Fourth Proportional to 7,719, 10,654.65 and 4,924.50

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Solution

The fourth proportional to 7,719, 10,654.65 and 4,924.50 is: 6,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719 : 10,654.65 = 4,924.50 : x
  2. Step 2: Convert to fraction form
    7,719/10,654.65 = 4,924.50/x
  3. Step 3: Cross multiply
    7,719x = 10,654.65 × 4,924.50
  4. Step 4: Simplify right side
    7,719x = 52,468,823.93
  5. Step 5: Solve for x
    x = 52,468,823.93/7,719
  6. Step 6: Final answer
    x = 6,797.36

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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.