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Finding the Fourth Proportional to 6,890.91, 9,509.45 and 4,202.13

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Solution

The fourth proportional to 6,890.91, 9,509.45 and 4,202.13 is: 5,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.91 : 9,509.45 = 4,202.13 : x
  2. Step 2: Convert to fraction form
    6,890.91/9,509.45 = 4,202.13/x
  3. Step 3: Cross multiply
    6,890.91x = 9,509.45 × 4,202.13
  4. Step 4: Simplify right side
    6,890.91x = 39,959,924.12
  5. Step 5: Solve for x
    x = 39,959,924.12/6,890.91
  6. Step 6: Final answer
    x = 5,798.93

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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.