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Finding the Fourth Proportional to 12,762.92, 17,607.12 and 8,509.82

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Solution

The fourth proportional to 12,762.92, 17,607.12 and 8,509.82 is: 11,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.92 : 17,607.12 = 8,509.82 : x
  2. Step 2: Convert to fraction form
    12,762.92/17,607.12 = 8,509.82/x
  3. Step 3: Cross multiply
    12,762.92x = 17,607.12 × 8,509.82
  4. Step 4: Simplify right side
    12,762.92x = 149,833,421.92
  5. Step 5: Solve for x
    x = 149,833,421.92/12,762.92
  6. Step 6: Final answer
    x = 11,739.74

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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.