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Finding the Fourth Proportional to 12,852.74, 19,281.06 and 7,927.67

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Solution

The fourth proportional to 12,852.74, 19,281.06 and 7,927.67 is: 11,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.74 : 19,281.06 = 7,927.67 : x
  2. Step 2: Convert to fraction form
    12,852.74/19,281.06 = 7,927.67/x
  3. Step 3: Cross multiply
    12,852.74x = 19,281.06 × 7,927.67
  4. Step 4: Simplify right side
    12,852.74x = 152,853,784.52
  5. Step 5: Solve for x
    x = 152,853,784.52/12,852.74
  6. Step 6: Final answer
    x = 11,892.70

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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.