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Finding the Fourth Proportional to 10,510.51, 15,755.11 and 6,815.08

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Solution

The fourth proportional to 10,510.51, 15,755.11 and 6,815.08 is: 10,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.51 : 15,755.11 = 6,815.08 : x
  2. Step 2: Convert to fraction form
    10,510.51/15,755.11 = 6,815.08/x
  3. Step 3: Cross multiply
    10,510.51x = 15,755.11 × 6,815.08
  4. Step 4: Simplify right side
    10,510.51x = 107,372,335.06
  5. Step 5: Solve for x
    x = 107,372,335.06/10,510.51
  6. Step 6: Final answer
    x = 10,215.71

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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.