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Finding the Fourth Proportional to 10,502.14, 15,751.04 and 4,953.10

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Solution

The fourth proportional to 10,502.14, 15,751.04 and 4,953.10 is: 7,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.14 : 15,751.04 = 4,953.10 : x
  2. Step 2: Convert to fraction form
    10,502.14/15,751.04 = 4,953.10/x
  3. Step 3: Cross multiply
    10,502.14x = 15,751.04 × 4,953.10
  4. Step 4: Simplify right side
    10,502.14x = 78,016,476.22
  5. Step 5: Solve for x
    x = 78,016,476.22/10,502.14
  6. Step 6: Final answer
    x = 7,428.63

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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.