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Finding the Fourth Proportional to 11,145.91, 15,382.93 and 6,898.34

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Solution

The fourth proportional to 11,145.91, 15,382.93 and 6,898.34 is: 9,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.91 : 15,382.93 = 6,898.34 : x
  2. Step 2: Convert to fraction form
    11,145.91/15,382.93 = 6,898.34/x
  3. Step 3: Cross multiply
    11,145.91x = 15,382.93 × 6,898.34
  4. Step 4: Simplify right side
    11,145.91x = 106,116,681.34
  5. Step 5: Solve for x
    x = 106,116,681.34/11,145.91
  6. Step 6: Final answer
    x = 9,520.68

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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.