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Finding the Fourth Proportional to 11,426, 15,767.88 and 6,458

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Solution

The fourth proportional to 11,426, 15,767.88 and 6,458 is: 8,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426 : 15,767.88 = 6,458 : x
  2. Step 2: Convert to fraction form
    11,426/15,767.88 = 6,458/x
  3. Step 3: Cross multiply
    11,426x = 15,767.88 × 6,458
  4. Step 4: Simplify right side
    11,426x = 101,828,969.04
  5. Step 5: Solve for x
    x = 101,828,969.04/11,426
  6. Step 6: Final answer
    x = 8,912.04

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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.