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Finding the Fourth Proportional to 14,619.60, 21,940.20 and 9,687.60

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Solution

The fourth proportional to 14,619.60, 21,940.20 and 9,687.60 is: 14,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,619.60 : 21,940.20 = 9,687.60 : x
  2. Step 2: Convert to fraction form
    14,619.60/21,940.20 = 9,687.60/x
  3. Step 3: Cross multiply
    14,619.60x = 21,940.20 × 9,687.60
  4. Step 4: Simplify right side
    14,619.60x = 212,547,881.52
  5. Step 5: Solve for x
    x = 212,547,881.52/14,619.60
  6. Step 6: Final answer
    x = 14,538.56

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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.