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Finding the Fourth Proportional to 26,008.17, 38,978.24 and 10,407.57

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Solution

The fourth proportional to 26,008.17, 38,978.24 and 10,407.57 is: 15,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,008.17 : 38,978.24 = 10,407.57 : x
  2. Step 2: Convert to fraction form
    26,008.17/38,978.24 = 10,407.57/x
  3. Step 3: Cross multiply
    26,008.17x = 38,978.24 × 10,407.57
  4. Step 4: Simplify right side
    26,008.17x = 405,668,709.24
  5. Step 5: Solve for x
    x = 405,668,709.24/26,008.17
  6. Step 6: Final answer
    x = 15,597.74

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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.