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Finding the Fourth Proportional to 4,785, 6,603.72 and 2,689.14

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Solution

The fourth proportional to 4,785, 6,603.72 and 2,689.14 is: 3,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785 : 6,603.72 = 2,689.14 : x
  2. Step 2: Convert to fraction form
    4,785/6,603.72 = 2,689.14/x
  3. Step 3: Cross multiply
    4,785x = 6,603.72 × 2,689.14
  4. Step 4: Simplify right side
    4,785x = 17,758,327.60
  5. Step 5: Solve for x
    x = 17,758,327.60/4,785
  6. Step 6: Final answer
    x = 3,711.25

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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.