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Finding the Fourth Proportional to 14,602.68, 20,159.28 and 8,945.64

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Solution

The fourth proportional to 14,602.68, 20,159.28 and 8,945.64 is: 12,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.68 : 20,159.28 = 8,945.64 : x
  2. Step 2: Convert to fraction form
    14,602.68/20,159.28 = 8,945.64/x
  3. Step 3: Cross multiply
    14,602.68x = 20,159.28 × 8,945.64
  4. Step 4: Simplify right side
    14,602.68x = 180,337,661.54
  5. Step 5: Solve for x
    x = 180,337,661.54/14,602.68
  6. Step 6: Final answer
    x = 12,349.63

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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.