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Finding the Fourth Proportional to 4,490.42, 6,733.98 and 1,715.72

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Solution

The fourth proportional to 4,490.42, 6,733.98 and 1,715.72 is: 2,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.42 : 6,733.98 = 1,715.72 : x
  2. Step 2: Convert to fraction form
    4,490.42/6,733.98 = 1,715.72/x
  3. Step 3: Cross multiply
    4,490.42x = 6,733.98 × 1,715.72
  4. Step 4: Simplify right side
    4,490.42x = 11,553,590.50
  5. Step 5: Solve for x
    x = 11,553,590.50/4,490.42
  6. Step 6: Final answer
    x = 2,572.94

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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.