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Finding the Fourth Proportional to 10,005.08, 13,812.80 and 8,897.80

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Solution

The fourth proportional to 10,005.08, 13,812.80 and 8,897.80 is: 12,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.08 : 13,812.80 = 8,897.80 : x
  2. Step 2: Convert to fraction form
    10,005.08/13,812.80 = 8,897.80/x
  3. Step 3: Cross multiply
    10,005.08x = 13,812.80 × 8,897.80
  4. Step 4: Simplify right side
    10,005.08x = 122,903,531.84
  5. Step 5: Solve for x
    x = 122,903,531.84/10,005.08
  6. Step 6: Final answer
    x = 12,284.11

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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.