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Finding the Fourth Proportional to 3,006.61, 4,509.91 and 1,973.15

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Solution

The fourth proportional to 3,006.61, 4,509.91 and 1,973.15 is: 2,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.61 : 4,509.91 = 1,973.15 : x
  2. Step 2: Convert to fraction form
    3,006.61/4,509.91 = 1,973.15/x
  3. Step 3: Cross multiply
    3,006.61x = 4,509.91 × 1,973.15
  4. Step 4: Simplify right side
    3,006.61x = 8,898,728.92
  5. Step 5: Solve for x
    x = 8,898,728.92/3,006.61
  6. Step 6: Final answer
    x = 2,959.72

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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.