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Finding the Fourth Proportional to 4,088, 6,130.72 and 1,490.24

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Solution

The fourth proportional to 4,088, 6,130.72 and 1,490.24 is: 2,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088 : 6,130.72 = 1,490.24 : x
  2. Step 2: Convert to fraction form
    4,088/6,130.72 = 1,490.24/x
  3. Step 3: Cross multiply
    4,088x = 6,130.72 × 1,490.24
  4. Step 4: Simplify right side
    4,088x = 9,136,244.17
  5. Step 5: Solve for x
    x = 9,136,244.17/4,088
  6. Step 6: Final answer
    x = 2,234.89

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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.