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Finding the Fourth Proportional to 14,458, 21,690.36 and 7,435.36

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Solution

The fourth proportional to 14,458, 21,690.36 and 7,435.36 is: 11,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458 : 21,690.36 = 7,435.36 : x
  2. Step 2: Convert to fraction form
    14,458/21,690.36 = 7,435.36/x
  3. Step 3: Cross multiply
    14,458x = 21,690.36 × 7,435.36
  4. Step 4: Simplify right side
    14,458x = 161,275,635.13
  5. Step 5: Solve for x
    x = 161,275,635.13/14,458
  6. Step 6: Final answer
    x = 11,154.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.