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Finding the Fourth Proportional to 6,292.51, 9,438.79 and 1,910

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Solution

The fourth proportional to 6,292.51, 9,438.79 and 1,910 is: 2,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.51 : 9,438.79 = 1,910 : x
  2. Step 2: Convert to fraction form
    6,292.51/9,438.79 = 1,910/x
  3. Step 3: Cross multiply
    6,292.51x = 9,438.79 × 1,910
  4. Step 4: Simplify right side
    6,292.51x = 18,028,088.90
  5. Step 5: Solve for x
    x = 18,028,088.90/6,292.51
  6. Step 6: Final answer
    x = 2,865.01

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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.