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Finding the Fourth Proportional to 10,328.63, 14,247 and 8,237.75

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Solution

The fourth proportional to 10,328.63, 14,247 and 8,237.75 is: 11,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.63 : 14,247 = 8,237.75 : x
  2. Step 2: Convert to fraction form
    10,328.63/14,247 = 8,237.75/x
  3. Step 3: Cross multiply
    10,328.63x = 14,247 × 8,237.75
  4. Step 4: Simplify right side
    10,328.63x = 117,363,153.02
  5. Step 5: Solve for x
    x = 117,363,153.02/10,328.63
  6. Step 6: Final answer
    x = 11,362.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.