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Finding the Fourth Proportional to 14,585.80, 21,867.90 and 9,894.10

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Solution

The fourth proportional to 14,585.80, 21,867.90 and 9,894.10 is: 14,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.80 : 21,867.90 = 9,894.10 : x
  2. Step 2: Convert to fraction form
    14,585.80/21,867.90 = 9,894.10/x
  3. Step 3: Cross multiply
    14,585.80x = 21,867.90 × 9,894.10
  4. Step 4: Simplify right side
    14,585.80x = 216,363,189.39
  5. Step 5: Solve for x
    x = 216,363,189.39/14,585.80
  6. Step 6: Final answer
    x = 14,833.82

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