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Finding the Fourth Proportional to 12,751.80, 19,041.83 and 10,416.47

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Solution

The fourth proportional to 12,751.80, 19,041.83 and 10,416.47 is: 15,554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.80 : 19,041.83 = 10,416.47 : x
  2. Step 2: Convert to fraction form
    12,751.80/19,041.83 = 10,416.47/x
  3. Step 3: Cross multiply
    12,751.80x = 19,041.83 × 10,416.47
  4. Step 4: Simplify right side
    12,751.80x = 198,348,650.94
  5. Step 5: Solve for x
    x = 198,348,650.94/12,751.80
  6. Step 6: Final answer
    x = 15,554.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.