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Finding the Fourth Proportional to 14,495.40, 20,005.56 and 8,208

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Solution

The fourth proportional to 14,495.40, 20,005.56 and 8,208 is: 11,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495.40 : 20,005.56 = 8,208 : x
  2. Step 2: Convert to fraction form
    14,495.40/20,005.56 = 8,208/x
  3. Step 3: Cross multiply
    14,495.40x = 20,005.56 × 8,208
  4. Step 4: Simplify right side
    14,495.40x = 164,205,636.48
  5. Step 5: Solve for x
    x = 164,205,636.48/14,495.40
  6. Step 6: Final answer
    x = 11,328.12

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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.