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Finding the Fourth Proportional to 20,510.64, 30,765.99 and 5,719.56

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Solution

The fourth proportional to 20,510.64, 30,765.99 and 5,719.56 is: 8,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.64 : 30,765.99 = 5,719.56 : x
  2. Step 2: Convert to fraction form
    20,510.64/30,765.99 = 5,719.56/x
  3. Step 3: Cross multiply
    20,510.64x = 30,765.99 × 5,719.56
  4. Step 4: Simplify right side
    20,510.64x = 175,967,925.76
  5. Step 5: Solve for x
    x = 175,967,925.76/20,510.64
  6. Step 6: Final answer
    x = 8,579.35

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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.