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Finding the Fourth Proportional to 7,758.84, 10,718.16 and 6,012.96

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Solution

The fourth proportional to 7,758.84, 10,718.16 and 6,012.96 is: 8,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.84 : 10,718.16 = 6,012.96 : x
  2. Step 2: Convert to fraction form
    7,758.84/10,718.16 = 6,012.96/x
  3. Step 3: Cross multiply
    7,758.84x = 10,718.16 × 6,012.96
  4. Step 4: Simplify right side
    7,758.84x = 64,447,867.35
  5. Step 5: Solve for x
    x = 64,447,867.35/7,758.84
  6. Step 6: Final answer
    x = 8,306.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.