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Finding the Fourth Proportional to 15,762.36, 21,751.76 and 8,689.44

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Solution

The fourth proportional to 15,762.36, 21,751.76 and 8,689.44 is: 11,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.36 : 21,751.76 = 8,689.44 : x
  2. Step 2: Convert to fraction form
    15,762.36/21,751.76 = 8,689.44/x
  3. Step 3: Cross multiply
    15,762.36x = 21,751.76 × 8,689.44
  4. Step 4: Simplify right side
    15,762.36x = 189,010,613.41
  5. Step 5: Solve for x
    x = 189,010,613.41/15,762.36
  6. Step 6: Final answer
    x = 11,991.26

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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.