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Finding the Fourth Proportional to 9,728.57, 13,420.62 and 5,747.76

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Solution

The fourth proportional to 9,728.57, 13,420.62 and 5,747.76 is: 7,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.57 : 13,420.62 = 5,747.76 : x
  2. Step 2: Convert to fraction form
    9,728.57/13,420.62 = 5,747.76/x
  3. Step 3: Cross multiply
    9,728.57x = 13,420.62 × 5,747.76
  4. Step 4: Simplify right side
    9,728.57x = 77,138,502.81
  5. Step 5: Solve for x
    x = 77,138,502.81/9,728.57
  6. Step 6: Final answer
    x = 7,929.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.