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Finding the Fourth Proportional to 14,678.71, 20,256.70 and 7,964.35

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Solution

The fourth proportional to 14,678.71, 20,256.70 and 7,964.35 is: 10,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.71 : 20,256.70 = 7,964.35 : x
  2. Step 2: Convert to fraction form
    14,678.71/20,256.70 = 7,964.35/x
  3. Step 3: Cross multiply
    14,678.71x = 20,256.70 × 7,964.35
  4. Step 4: Simplify right side
    14,678.71x = 161,331,448.65
  5. Step 5: Solve for x
    x = 161,331,448.65/14,678.71
  6. Step 6: Final answer
    x = 10,990.85

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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.