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Finding the Fourth Proportional to 19,690.76, 27,173.90 and 10,739

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Solution

The fourth proportional to 19,690.76, 27,173.90 and 10,739 is: 14,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.76 : 27,173.90 = 10,739 : x
  2. Step 2: Convert to fraction form
    19,690.76/27,173.90 = 10,739/x
  3. Step 3: Cross multiply
    19,690.76x = 27,173.90 × 10,739
  4. Step 4: Simplify right side
    19,690.76x = 291,820,512.10
  5. Step 5: Solve for x
    x = 291,820,512.10/19,690.76
  6. Step 6: Final answer
    x = 14,820.18

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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.