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Finding the Fourth Proportional to 11,458, 15,812.22 and 6,423.34

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Solution

The fourth proportional to 11,458, 15,812.22 and 6,423.34 is: 8,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458 : 15,812.22 = 6,423.34 : x
  2. Step 2: Convert to fraction form
    11,458/15,812.22 = 6,423.34/x
  3. Step 3: Cross multiply
    11,458x = 15,812.22 × 6,423.34
  4. Step 4: Simplify right side
    11,458x = 101,567,265.21
  5. Step 5: Solve for x
    x = 101,567,265.21/11,458
  6. Step 6: Final answer
    x = 8,864.31

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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.