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Finding the Fourth Proportional to 4,658, 6,428.40 and 3,264.08

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Solution

The fourth proportional to 4,658, 6,428.40 and 3,264.08 is: 4,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 6,428.40 = 3,264.08 : x
  2. Step 2: Convert to fraction form
    4,658/6,428.40 = 3,264.08/x
  3. Step 3: Cross multiply
    4,658x = 6,428.40 × 3,264.08
  4. Step 4: Simplify right side
    4,658x = 20,982,811.87
  5. Step 5: Solve for x
    x = 20,982,811.87/4,658
  6. Step 6: Final answer
    x = 4,504.68

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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.