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Finding the Fourth Proportional to 12,795.84, 17,658.54 and 7,206.84

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Solution

The fourth proportional to 12,795.84, 17,658.54 and 7,206.84 is: 9,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795.84 : 17,658.54 = 7,206.84 : x
  2. Step 2: Convert to fraction form
    12,795.84/17,658.54 = 7,206.84/x
  3. Step 3: Cross multiply
    12,795.84x = 17,658.54 × 7,206.84
  4. Step 4: Simplify right side
    12,795.84x = 127,262,272.41
  5. Step 5: Solve for x
    x = 127,262,272.41/12,795.84
  6. Step 6: Final answer
    x = 9,945.60

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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.