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Finding the Fourth Proportional to 10,468.64, 14,435.20 and 8,874.56

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Solution

The fourth proportional to 10,468.64, 14,435.20 and 8,874.56 is: 12,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.64 : 14,435.20 = 8,874.56 : x
  2. Step 2: Convert to fraction form
    10,468.64/14,435.20 = 8,874.56/x
  3. Step 3: Cross multiply
    10,468.64x = 14,435.20 × 8,874.56
  4. Step 4: Simplify right side
    10,468.64x = 128,106,048.51
  5. Step 5: Solve for x
    x = 128,106,048.51/10,468.64
  6. Step 6: Final answer
    x = 12,237.12

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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.