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Finding the Fourth Proportional to 9,670.50, 13,351.73 and 7,428.38

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Solution

The fourth proportional to 9,670.50, 13,351.73 and 7,428.38 is: 10,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.50 : 13,351.73 = 7,428.38 : x
  2. Step 2: Convert to fraction form
    9,670.50/13,351.73 = 7,428.38/x
  3. Step 3: Cross multiply
    9,670.50x = 13,351.73 × 7,428.38
  4. Step 4: Simplify right side
    9,670.50x = 99,181,724.10
  5. Step 5: Solve for x
    x = 99,181,724.10/9,670.50
  6. Step 6: Final answer
    x = 10,256.11

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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.