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Finding the Fourth Proportional to 9,358.65, 12,914.75 and 5,109.84

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Solution

The fourth proportional to 9,358.65, 12,914.75 and 5,109.84 is: 7,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.65 : 12,914.75 = 5,109.84 : x
  2. Step 2: Convert to fraction form
    9,358.65/12,914.75 = 5,109.84/x
  3. Step 3: Cross multiply
    9,358.65x = 12,914.75 × 5,109.84
  4. Step 4: Simplify right side
    9,358.65x = 65,992,280.59
  5. Step 5: Solve for x
    x = 65,992,280.59/9,358.65
  6. Step 6: Final answer
    x = 7,051.47

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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.