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Finding the Fourth Proportional to 12,767.90, 19,119.02 and 7,822.53

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Solution

The fourth proportional to 12,767.90, 19,119.02 and 7,822.53 is: 11,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.90 : 19,119.02 = 7,822.53 : x
  2. Step 2: Convert to fraction form
    12,767.90/19,119.02 = 7,822.53/x
  3. Step 3: Cross multiply
    12,767.90x = 19,119.02 × 7,822.53
  4. Step 4: Simplify right side
    12,767.90x = 149,559,068.41
  5. Step 5: Solve for x
    x = 149,559,068.41/12,767.90
  6. Step 6: Final answer
    x = 11,713.68

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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.