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Finding the Fourth Proportional to 17,697.90, 24,420.30 and 10,142.77

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Solution

The fourth proportional to 17,697.90, 24,420.30 and 10,142.77 is: 13,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.90 : 24,420.30 = 10,142.77 : x
  2. Step 2: Convert to fraction form
    17,697.90/24,420.30 = 10,142.77/x
  3. Step 3: Cross multiply
    17,697.90x = 24,420.30 × 10,142.77
  4. Step 4: Simplify right side
    17,697.90x = 247,689,547.28
  5. Step 5: Solve for x
    x = 247,689,547.28/17,697.90
  6. Step 6: Final answer
    x = 13,995.42

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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.