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Finding the Fourth Proportional to 20,140.56, 30,210.72 and 7,828.56

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Solution

The fourth proportional to 20,140.56, 30,210.72 and 7,828.56 is: 11,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.56 : 30,210.72 = 7,828.56 : x
  2. Step 2: Convert to fraction form
    20,140.56/30,210.72 = 7,828.56/x
  3. Step 3: Cross multiply
    20,140.56x = 30,210.72 × 7,828.56
  4. Step 4: Simplify right side
    20,140.56x = 236,506,434.16
  5. Step 5: Solve for x
    x = 236,506,434.16/20,140.56
  6. Step 6: Final answer
    x = 11,742.79

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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.