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Finding the Fourth Proportional to 14,405.60, 19,860 and 9,097.76

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Solution

The fourth proportional to 14,405.60, 19,860 and 9,097.76 is: 12,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.60 : 19,860 = 9,097.76 : x
  2. Step 2: Convert to fraction form
    14,405.60/19,860 = 9,097.76/x
  3. Step 3: Cross multiply
    14,405.60x = 19,860 × 9,097.76
  4. Step 4: Simplify right side
    14,405.60x = 180,681,513.60
  5. Step 5: Solve for x
    x = 180,681,513.60/14,405.60
  6. Step 6: Final answer
    x = 12,542.45

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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.