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Finding the Fourth Proportional to 20,459.46, 30,687.93 and 7,311.18

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Solution

The fourth proportional to 20,459.46, 30,687.93 and 7,311.18 is: 10,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.46 : 30,687.93 = 7,311.18 : x
  2. Step 2: Convert to fraction form
    20,459.46/30,687.93 = 7,311.18/x
  3. Step 3: Cross multiply
    20,459.46x = 30,687.93 × 7,311.18
  4. Step 4: Simplify right side
    20,459.46x = 224,364,980.06
  5. Step 5: Solve for x
    x = 224,364,980.06/20,459.46
  6. Step 6: Final answer
    x = 10,966.32

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1.5x scale

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.