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Finding the Fourth Proportional to 10,179.90, 13,699.13 and 10,179.90

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Solution

The fourth proportional to 10,179.90, 13,699.13 and 10,179.90 is: 13,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.90 : 13,699.13 = 10,179.90 : x
  2. Step 2: Convert to fraction form
    10,179.90/13,699.13 = 10,179.90/x
  3. Step 3: Cross multiply
    10,179.90x = 13,699.13 × 10,179.90
  4. Step 4: Simplify right side
    10,179.90x = 139,455,722.59
  5. Step 5: Solve for x
    x = 139,455,722.59/10,179.90
  6. Step 6: Final answer
    x = 13,699.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.