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Finding the Fourth Proportional to 12,648.90, 18,957.15 and 9,712.65

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Solution

The fourth proportional to 12,648.90, 18,957.15 and 9,712.65 is: 14,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.90 : 18,957.15 = 9,712.65 : x
  2. Step 2: Convert to fraction form
    12,648.90/18,957.15 = 9,712.65/x
  3. Step 3: Cross multiply
    12,648.90x = 18,957.15 × 9,712.65
  4. Step 4: Simplify right side
    12,648.90x = 184,124,162.95
  5. Step 5: Solve for x
    x = 184,124,162.95/12,648.90
  6. Step 6: Final answer
    x = 14,556.54

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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.