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Finding the Fourth Proportional to 7,428.28, 10,251 and 4,071.12

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Solution

The fourth proportional to 7,428.28, 10,251 and 4,071.12 is: 5,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.28 : 10,251 = 4,071.12 : x
  2. Step 2: Convert to fraction form
    7,428.28/10,251 = 4,071.12/x
  3. Step 3: Cross multiply
    7,428.28x = 10,251 × 4,071.12
  4. Step 4: Simplify right side
    7,428.28x = 41,733,051.12
  5. Step 5: Solve for x
    x = 41,733,051.12/7,428.28
  6. Step 6: Final answer
    x = 5,618.13

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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.