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Finding the Fourth Proportional to 14,678.66, 20,256.60 and 7,964.40

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Solution

The fourth proportional to 14,678.66, 20,256.60 and 7,964.40 is: 10,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.66 : 20,256.60 = 7,964.40 : x
  2. Step 2: Convert to fraction form
    14,678.66/20,256.60 = 7,964.40/x
  3. Step 3: Cross multiply
    14,678.66x = 20,256.60 × 7,964.40
  4. Step 4: Simplify right side
    14,678.66x = 161,331,665.04
  5. Step 5: Solve for x
    x = 161,331,665.04/14,678.66
  6. Step 6: Final answer
    x = 10,990.90

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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.