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Finding the Fourth Proportional to 14,143.67, 21,223.65 and 7,569.80

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Solution

The fourth proportional to 14,143.67, 21,223.65 and 7,569.80 is: 11,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.67 : 21,223.65 = 7,569.80 : x
  2. Step 2: Convert to fraction form
    14,143.67/21,223.65 = 7,569.80/x
  3. Step 3: Cross multiply
    14,143.67x = 21,223.65 × 7,569.80
  4. Step 4: Simplify right side
    14,143.67x = 160,658,785.77
  5. Step 5: Solve for x
    x = 160,658,785.77/14,143.67
  6. Step 6: Final answer
    x = 11,359.06

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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.