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Finding the Fourth Proportional to 10,005.92, 13,798.95 and 9,211

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Solution

The fourth proportional to 10,005.92, 13,798.95 and 9,211 is: 12,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.92 : 13,798.95 = 9,211 : x
  2. Step 2: Convert to fraction form
    10,005.92/13,798.95 = 9,211/x
  3. Step 3: Cross multiply
    10,005.92x = 13,798.95 × 9,211
  4. Step 4: Simplify right side
    10,005.92x = 127,102,128.45
  5. Step 5: Solve for x
    x = 127,102,128.45/10,005.92
  6. Step 6: Final answer
    x = 12,702.69

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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.