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Finding the Fourth Proportional to 10,506.30, 15,738.65 and 6,811.10

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Solution

The fourth proportional to 10,506.30, 15,738.65 and 6,811.10 is: 10,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.30 : 15,738.65 = 6,811.10 : x
  2. Step 2: Convert to fraction form
    10,506.30/15,738.65 = 6,811.10/x
  3. Step 3: Cross multiply
    10,506.30x = 15,738.65 × 6,811.10
  4. Step 4: Simplify right side
    10,506.30x = 107,197,519.02
  5. Step 5: Solve for x
    x = 107,197,519.02/10,506.30
  6. Step 6: Final answer
    x = 10,203.17

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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.