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Finding the Fourth Proportional to 12,762.14, 19,143.22 and 4,970.95

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Solution

The fourth proportional to 12,762.14, 19,143.22 and 4,970.95 is: 7,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.14 : 19,143.22 = 4,970.95 : x
  2. Step 2: Convert to fraction form
    12,762.14/19,143.22 = 4,970.95/x
  3. Step 3: Cross multiply
    12,762.14x = 19,143.22 × 4,970.95
  4. Step 4: Simplify right side
    12,762.14x = 95,159,893.74
  5. Step 5: Solve for x
    x = 95,159,893.74/12,762.14
  6. Step 6: Final answer
    x = 7,456.42

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Similar ratio
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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.