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Finding the Fourth Proportional to 9,510, 14,259.78 and 3,266.52

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Solution

The fourth proportional to 9,510, 14,259.78 and 3,266.52 is: 4,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510 : 14,259.78 = 3,266.52 : x
  2. Step 2: Convert to fraction form
    9,510/14,259.78 = 3,266.52/x
  3. Step 3: Cross multiply
    9,510x = 14,259.78 × 3,266.52
  4. Step 4: Simplify right side
    9,510x = 46,579,856.57
  5. Step 5: Solve for x
    x = 46,579,856.57/9,510
  6. Step 6: Final answer
    x = 4,897.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.