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Finding the Fourth Proportional to 7,445, 11,167.50 and 1,973

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Solution

The fourth proportional to 7,445, 11,167.50 and 1,973 is: 2,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445 : 11,167.50 = 1,973 : x
  2. Step 2: Convert to fraction form
    7,445/11,167.50 = 1,973/x
  3. Step 3: Cross multiply
    7,445x = 11,167.50 × 1,973
  4. Step 4: Simplify right side
    7,445x = 22,033,477.50
  5. Step 5: Solve for x
    x = 22,033,477.50/7,445
  6. Step 6: Final answer
    x = 2,959.50

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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.