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Finding the Fourth Proportional to 12,740.15, 19,118 and 8,053.70

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Solution

The fourth proportional to 12,740.15, 19,118 and 8,053.70 is: 12,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.15 : 19,118 = 8,053.70 : x
  2. Step 2: Convert to fraction form
    12,740.15/19,118 = 8,053.70/x
  3. Step 3: Cross multiply
    12,740.15x = 19,118 × 8,053.70
  4. Step 4: Simplify right side
    12,740.15x = 153,970,636.60
  5. Step 5: Solve for x
    x = 153,970,636.60/12,740.15
  6. Step 6: Final answer
    x = 12,085.46

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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.