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Finding the Fourth Proportional to 14,642, 21,965.78 and 5,877.60

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Solution

The fourth proportional to 14,642, 21,965.78 and 5,877.60 is: 8,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642 : 21,965.78 = 5,877.60 : x
  2. Step 2: Convert to fraction form
    14,642/21,965.78 = 5,877.60/x
  3. Step 3: Cross multiply
    14,642x = 21,965.78 × 5,877.60
  4. Step 4: Simplify right side
    14,642x = 129,106,068.53
  5. Step 5: Solve for x
    x = 129,106,068.53/14,642
  6. Step 6: Final answer
    x = 8,817.52

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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.