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Finding the Fourth Proportional to 12,813.66, 17,678.79 and 7,223.58

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Solution

The fourth proportional to 12,813.66, 17,678.79 and 7,223.58 is: 9,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.66 : 17,678.79 = 7,223.58 : x
  2. Step 2: Convert to fraction form
    12,813.66/17,678.79 = 7,223.58/x
  3. Step 3: Cross multiply
    12,813.66x = 17,678.79 × 7,223.58
  4. Step 4: Simplify right side
    12,813.66x = 127,704,153.87
  5. Step 5: Solve for x
    x = 127,704,153.87/12,813.66
  6. Step 6: Final answer
    x = 9,966.25

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1.5x scale

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.