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Finding the Fourth Proportional to 15,728.96, 21,697.69 and 9,351.01

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Solution

The fourth proportional to 15,728.96, 21,697.69 and 9,351.01 is: 12,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.96 : 21,697.69 = 9,351.01 : x
  2. Step 2: Convert to fraction form
    15,728.96/21,697.69 = 9,351.01/x
  3. Step 3: Cross multiply
    15,728.96x = 21,697.69 × 9,351.01
  4. Step 4: Simplify right side
    15,728.96x = 202,895,316.17
  5. Step 5: Solve for x
    x = 202,895,316.17/15,728.96
  6. Step 6: Final answer
    x = 12,899.48

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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.