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Finding the Fourth Proportional to 9,574, 14,361 and 2,648.50

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Solution

The fourth proportional to 9,574, 14,361 and 2,648.50 is: 3,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574 : 14,361 = 2,648.50 : x
  2. Step 2: Convert to fraction form
    9,574/14,361 = 2,648.50/x
  3. Step 3: Cross multiply
    9,574x = 14,361 × 2,648.50
  4. Step 4: Simplify right side
    9,574x = 38,035,108.50
  5. Step 5: Solve for x
    x = 38,035,108.50/9,574
  6. Step 6: Final answer
    x = 3,972.75

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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.