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Finding the Fourth Proportional to 7,617.75, 10,502.16 and 6,510.58

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Solution

The fourth proportional to 7,617.75, 10,502.16 and 6,510.58 is: 8,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.75 : 10,502.16 = 6,510.58 : x
  2. Step 2: Convert to fraction form
    7,617.75/10,502.16 = 6,510.58/x
  3. Step 3: Cross multiply
    7,617.75x = 10,502.16 × 6,510.58
  4. Step 4: Simplify right side
    7,617.75x = 68,375,102.18
  5. Step 5: Solve for x
    x = 68,375,102.18/7,617.75
  6. Step 6: Final answer
    x = 8,975.77

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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.