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Finding the Fourth Proportional to 6,389.94, 9,585.02 and 2,007.51

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Solution

The fourth proportional to 6,389.94, 9,585.02 and 2,007.51 is: 3,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.94 : 9,585.02 = 2,007.51 : x
  2. Step 2: Convert to fraction form
    6,389.94/9,585.02 = 2,007.51/x
  3. Step 3: Cross multiply
    6,389.94x = 9,585.02 × 2,007.51
  4. Step 4: Simplify right side
    6,389.94x = 19,242,023.50
  5. Step 5: Solve for x
    x = 19,242,023.50/6,389.94
  6. Step 6: Final answer
    x = 3,011.30

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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.