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Finding the Fourth Proportional to 14,805, 20,430.90 and 9,216

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Solution

The fourth proportional to 14,805, 20,430.90 and 9,216 is: 12,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805 : 20,430.90 = 9,216 : x
  2. Step 2: Convert to fraction form
    14,805/20,430.90 = 9,216/x
  3. Step 3: Cross multiply
    14,805x = 20,430.90 × 9,216
  4. Step 4: Simplify right side
    14,805x = 188,291,174.40
  5. Step 5: Solve for x
    x = 188,291,174.40/14,805
  6. Step 6: Final answer
    x = 12,718.08

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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.