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Finding the Fourth Proportional to 6,710.76, 10,064.97 and 1,780.65

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Solution

The fourth proportional to 6,710.76, 10,064.97 and 1,780.65 is: 2,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.76 : 10,064.97 = 1,780.65 : x
  2. Step 2: Convert to fraction form
    6,710.76/10,064.97 = 1,780.65/x
  3. Step 3: Cross multiply
    6,710.76x = 10,064.97 × 1,780.65
  4. Step 4: Simplify right side
    6,710.76x = 17,922,188.83
  5. Step 5: Solve for x
    x = 17,922,188.83/6,710.76
  6. Step 6: Final answer
    x = 2,670.66

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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.