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Finding the Fourth Proportional to 14,387.84, 21,582.08 and 7,458.56

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Solution

The fourth proportional to 14,387.84, 21,582.08 and 7,458.56 is: 11,188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387.84 : 21,582.08 = 7,458.56 : x
  2. Step 2: Convert to fraction form
    14,387.84/21,582.08 = 7,458.56/x
  3. Step 3: Cross multiply
    14,387.84x = 21,582.08 × 7,458.56
  4. Step 4: Simplify right side
    14,387.84x = 160,971,238.60
  5. Step 5: Solve for x
    x = 160,971,238.60/14,387.84
  6. Step 6: Final answer
    x = 11,188.01

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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.