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Finding the Fourth Proportional to 12,986.25, 19,488.02 and 4,778.25

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Solution

The fourth proportional to 12,986.25, 19,488.02 and 4,778.25 is: 7,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.25 : 19,488.02 = 4,778.25 : x
  2. Step 2: Convert to fraction form
    12,986.25/19,488.02 = 4,778.25/x
  3. Step 3: Cross multiply
    12,986.25x = 19,488.02 × 4,778.25
  4. Step 4: Simplify right side
    12,986.25x = 93,118,607.67
  5. Step 5: Solve for x
    x = 93,118,607.67/12,986.25
  6. Step 6: Final answer
    x = 7,170.55

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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.