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Finding the Fourth Proportional to 6,270.66, 9,405.90 and 1,590.66

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Solution

The fourth proportional to 6,270.66, 9,405.90 and 1,590.66 is: 2,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.66 : 9,405.90 = 1,590.66 : x
  2. Step 2: Convert to fraction form
    6,270.66/9,405.90 = 1,590.66/x
  3. Step 3: Cross multiply
    6,270.66x = 9,405.90 × 1,590.66
  4. Step 4: Simplify right side
    6,270.66x = 14,961,588.89
  5. Step 5: Solve for x
    x = 14,961,588.89/6,270.66
  6. Step 6: Final answer
    x = 2,385.97

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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.