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Finding the Fourth Proportional to 4,687, 7,030.86 and 1,609

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Solution

The fourth proportional to 4,687, 7,030.86 and 1,609 is: 2,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687 : 7,030.86 = 1,609 : x
  2. Step 2: Convert to fraction form
    4,687/7,030.86 = 1,609/x
  3. Step 3: Cross multiply
    4,687x = 7,030.86 × 1,609
  4. Step 4: Simplify right side
    4,687x = 11,312,653.74
  5. Step 5: Solve for x
    x = 11,312,653.74/4,687
  6. Step 6: Final answer
    x = 2,413.62

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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.