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Finding the Fourth Proportional to 10,662.16, 14,717.80 and 9,164.06

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Solution

The fourth proportional to 10,662.16, 14,717.80 and 9,164.06 is: 12,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.16 : 14,717.80 = 9,164.06 : x
  2. Step 2: Convert to fraction form
    10,662.16/14,717.80 = 9,164.06/x
  3. Step 3: Cross multiply
    10,662.16x = 14,717.80 × 9,164.06
  4. Step 4: Simplify right side
    10,662.16x = 134,874,802.27
  5. Step 5: Solve for x
    x = 134,874,802.27/10,662.16
  6. Step 6: Final answer
    x = 12,649.86

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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.