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Finding the Fourth Proportional to 6,490, 9,739.32 and 2,386

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Solution

The fourth proportional to 6,490, 9,739.32 and 2,386 is: 3,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490 : 9,739.32 = 2,386 : x
  2. Step 2: Convert to fraction form
    6,490/9,739.32 = 2,386/x
  3. Step 3: Cross multiply
    6,490x = 9,739.32 × 2,386
  4. Step 4: Simplify right side
    6,490x = 23,238,017.52
  5. Step 5: Solve for x
    x = 23,238,017.52/6,490
  6. Step 6: Final answer
    x = 3,580.59

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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.