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Finding the Fourth Proportional to 7,687.59, 10,609.09 and 4,703.35

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Solution

The fourth proportional to 7,687.59, 10,609.09 and 4,703.35 is: 6,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.59 : 10,609.09 = 4,703.35 : x
  2. Step 2: Convert to fraction form
    7,687.59/10,609.09 = 4,703.35/x
  3. Step 3: Cross multiply
    7,687.59x = 10,609.09 × 4,703.35
  4. Step 4: Simplify right side
    7,687.59x = 49,898,263.45
  5. Step 5: Solve for x
    x = 49,898,263.45/7,687.59
  6. Step 6: Final answer
    x = 6,490.76

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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.