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Finding the Fourth Proportional to 13,762.92, 18,995.88 and 8,462.28

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Solution

The fourth proportional to 13,762.92, 18,995.88 and 8,462.28 is: 11,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.92 : 18,995.88 = 8,462.28 : x
  2. Step 2: Convert to fraction form
    13,762.92/18,995.88 = 8,462.28/x
  3. Step 3: Cross multiply
    13,762.92x = 18,995.88 × 8,462.28
  4. Step 4: Simplify right side
    13,762.92x = 160,748,455.41
  5. Step 5: Solve for x
    x = 160,748,455.41/13,762.92
  6. Step 6: Final answer
    x = 11,679.82

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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.