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Finding the Fourth Proportional to 16,987, 23,431.90 and 10,688.44

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Solution

The fourth proportional to 16,987, 23,431.90 and 10,688.44 is: 14,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,987 : 23,431.90 = 10,688.44 : x
  2. Step 2: Convert to fraction form
    16,987/23,431.90 = 10,688.44/x
  3. Step 3: Cross multiply
    16,987x = 23,431.90 × 10,688.44
  4. Step 4: Simplify right side
    16,987x = 250,450,457.24
  5. Step 5: Solve for x
    x = 250,450,457.24/16,987
  6. Step 6: Final answer
    x = 14,743.65

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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.