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Finding the Fourth Proportional to 7,174.71, 9,905.88 and 4,490.00

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Solution

The fourth proportional to 7,174.71, 9,905.88 and 4,490.00 is: 6,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.71 : 9,905.88 = 4,490.00 : x
  2. Step 2: Convert to fraction form
    7,174.71/9,905.88 = 4,490.00/x
  3. Step 3: Cross multiply
    7,174.71x = 9,905.88 × 4,490.00
  4. Step 4: Simplify right side
    7,174.71x = 44,477,351.67
  5. Step 5: Solve for x
    x = 44,477,351.67/7,174.71
  6. Step 6: Final answer
    x = 6,199.18

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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.