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Finding the Fourth Proportional to 9,490.90, 13,102.77 and 5,715.10

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Solution

The fourth proportional to 9,490.90, 13,102.77 and 5,715.10 is: 7,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.90 : 13,102.77 = 5,715.10 : x
  2. Step 2: Convert to fraction form
    9,490.90/13,102.77 = 5,715.10/x
  3. Step 3: Cross multiply
    9,490.90x = 13,102.77 × 5,715.10
  4. Step 4: Simplify right side
    9,490.90x = 74,883,640.83
  5. Step 5: Solve for x
    x = 74,883,640.83/9,490.90
  6. Step 6: Final answer
    x = 7,890.05

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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.