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Finding the Fourth Proportional to 7,710, 11,556.58 and 3,956.53

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Solution

The fourth proportional to 7,710, 11,556.58 and 3,956.53 is: 5,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710 : 11,556.58 = 3,956.53 : x
  2. Step 2: Convert to fraction form
    7,710/11,556.58 = 3,956.53/x
  3. Step 3: Cross multiply
    7,710x = 11,556.58 × 3,956.53
  4. Step 4: Simplify right side
    7,710x = 45,723,955.47
  5. Step 5: Solve for x
    x = 45,723,955.47/7,710
  6. Step 6: Final answer
    x = 5,930.47

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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.