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Finding the Fourth Proportional to 14,290, 19,718.56 and 8,320.40

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Solution

The fourth proportional to 14,290, 19,718.56 and 8,320.40 is: 11,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290 : 19,718.56 = 8,320.40 : x
  2. Step 2: Convert to fraction form
    14,290/19,718.56 = 8,320.40/x
  3. Step 3: Cross multiply
    14,290x = 19,718.56 × 8,320.40
  4. Step 4: Simplify right side
    14,290x = 164,066,306.62
  5. Step 5: Solve for x
    x = 164,066,306.62/14,290
  6. Step 6: Final answer
    x = 11,481.20

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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.