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Finding the Fourth Proportional to 13,218.65, 19,821.70 and 7,673.70

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Solution

The fourth proportional to 13,218.65, 19,821.70 and 7,673.70 is: 11,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.65 : 19,821.70 = 7,673.70 : x
  2. Step 2: Convert to fraction form
    13,218.65/19,821.70 = 7,673.70/x
  3. Step 3: Cross multiply
    13,218.65x = 19,821.70 × 7,673.70
  4. Step 4: Simplify right side
    13,218.65x = 152,105,714.55
  5. Step 5: Solve for x
    x = 152,105,714.55/13,218.65
  6. Step 6: Final answer
    x = 11,506.90

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1.5x scale

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.