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Finding the Fourth Proportional to 4,669, 7,004.70 and 1,591

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Solution

The fourth proportional to 4,669, 7,004.70 and 1,591 is: 2,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669 : 7,004.70 = 1,591 : x
  2. Step 2: Convert to fraction form
    4,669/7,004.70 = 1,591/x
  3. Step 3: Cross multiply
    4,669x = 7,004.70 × 1,591
  4. Step 4: Simplify right side
    4,669x = 11,144,477.70
  5. Step 5: Solve for x
    x = 11,144,477.70/4,669
  6. Step 6: Final answer
    x = 2,386.91

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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.