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Finding the Fourth Proportional to 14,580, 21,873.68 and 4,191.76

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Solution

The fourth proportional to 14,580, 21,873.68 and 4,191.76 is: 6,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580 : 21,873.68 = 4,191.76 : x
  2. Step 2: Convert to fraction form
    14,580/21,873.68 = 4,191.76/x
  3. Step 3: Cross multiply
    14,580x = 21,873.68 × 4,191.76
  4. Step 4: Simplify right side
    14,580x = 91,689,216.88
  5. Step 5: Solve for x
    x = 91,689,216.88/14,580
  6. Step 6: Final answer
    x = 6,288.70

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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.