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Finding the Fourth Proportional to 10,278, 14,180.34 and 6,297.12

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Solution

The fourth proportional to 10,278, 14,180.34 and 6,297.12 is: 8,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278 : 14,180.34 = 6,297.12 : x
  2. Step 2: Convert to fraction form
    10,278/14,180.34 = 6,297.12/x
  3. Step 3: Cross multiply
    10,278x = 14,180.34 × 6,297.12
  4. Step 4: Simplify right side
    10,278x = 89,295,302.62
  5. Step 5: Solve for x
    x = 89,295,302.62/10,278
  6. Step 6: Final answer
    x = 8,688.00

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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.