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Finding the Fourth Proportional to 4,659.79, 6,988.25 and 1,739.47

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Solution

The fourth proportional to 4,659.79, 6,988.25 and 1,739.47 is: 2,608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.79 : 6,988.25 = 1,739.47 : x
  2. Step 2: Convert to fraction form
    4,659.79/6,988.25 = 1,739.47/x
  3. Step 3: Cross multiply
    4,659.79x = 6,988.25 × 1,739.47
  4. Step 4: Simplify right side
    4,659.79x = 12,155,842.53
  5. Step 5: Solve for x
    x = 12,155,842.53/4,659.79
  6. Step 6: Final answer
    x = 2,608.67

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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.