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Finding the Fourth Proportional to 10,510.16, 15,770.74 and 6,811.44

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Solution

The fourth proportional to 10,510.16, 15,770.74 and 6,811.44 is: 10,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.16 : 15,770.74 = 6,811.44 : x
  2. Step 2: Convert to fraction form
    10,510.16/15,770.74 = 6,811.44/x
  3. Step 3: Cross multiply
    10,510.16x = 15,770.74 × 6,811.44
  4. Step 4: Simplify right side
    10,510.16x = 107,421,449.27
  5. Step 5: Solve for x
    x = 107,421,449.27/10,510.16
  6. Step 6: Final answer
    x = 10,220.72

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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.