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Finding the Fourth Proportional to 5,806.64, 8,707.80 and 1,910

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Solution

The fourth proportional to 5,806.64, 8,707.80 and 1,910 is: 2,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.64 : 8,707.80 = 1,910 : x
  2. Step 2: Convert to fraction form
    5,806.64/8,707.80 = 1,910/x
  3. Step 3: Cross multiply
    5,806.64x = 8,707.80 × 1,910
  4. Step 4: Simplify right side
    5,806.64x = 16,631,898.00
  5. Step 5: Solve for x
    x = 16,631,898.00/5,806.64
  6. Step 6: Final answer
    x = 2,864.29

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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.