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Finding the Fourth Proportional to 10,815, 14,923.68 and 6,834.64

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Solution

The fourth proportional to 10,815, 14,923.68 and 6,834.64 is: 9,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815 : 14,923.68 = 6,834.64 : x
  2. Step 2: Convert to fraction form
    10,815/14,923.68 = 6,834.64/x
  3. Step 3: Cross multiply
    10,815x = 14,923.68 × 6,834.64
  4. Step 4: Simplify right side
    10,815x = 101,997,980.28
  5. Step 5: Solve for x
    x = 101,997,980.28/10,815
  6. Step 6: Final answer
    x = 9,431.16

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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.