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Finding the Fourth Proportional to 12,762.74, 19,031.50 and 11,209.16

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Solution

The fourth proportional to 12,762.74, 19,031.50 and 11,209.16 is: 16,714.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.74 : 19,031.50 = 11,209.16 : x
  2. Step 2: Convert to fraction form
    12,762.74/19,031.50 = 11,209.16/x
  3. Step 3: Cross multiply
    12,762.74x = 19,031.50 × 11,209.16
  4. Step 4: Simplify right side
    12,762.74x = 213,327,128.54
  5. Step 5: Solve for x
    x = 213,327,128.54/12,762.74
  6. Step 6: Final answer
    x = 16,714.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.