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Finding the Fourth Proportional to 14,503.34, 20,009.85 and 8,129

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Solution

The fourth proportional to 14,503.34, 20,009.85 and 8,129 is: 11,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,503.34 : 20,009.85 = 8,129 : x
  2. Step 2: Convert to fraction form
    14,503.34/20,009.85 = 8,129/x
  3. Step 3: Cross multiply
    14,503.34x = 20,009.85 × 8,129
  4. Step 4: Simplify right side
    14,503.34x = 162,660,070.65
  5. Step 5: Solve for x
    x = 162,660,070.65/14,503.34
  6. Step 6: Final answer
    x = 11,215.35

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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.