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Finding the Fourth Proportional to 10,012.82, 15,009.17 and 3,434.54

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Solution

The fourth proportional to 10,012.82, 15,009.17 and 3,434.54 is: 5,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.82 : 15,009.17 = 3,434.54 : x
  2. Step 2: Convert to fraction form
    10,012.82/15,009.17 = 3,434.54/x
  3. Step 3: Cross multiply
    10,012.82x = 15,009.17 × 3,434.54
  4. Step 4: Simplify right side
    10,012.82x = 51,549,502.51
  5. Step 5: Solve for x
    x = 51,549,502.51/10,012.82
  6. Step 6: Final answer
    x = 5,148.35

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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.