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Finding the Fourth Proportional to 10,314, 14,235.12 and 6,122.16

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Solution

The fourth proportional to 10,314, 14,235.12 and 6,122.16 is: 8,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314 : 14,235.12 = 6,122.16 : x
  2. Step 2: Convert to fraction form
    10,314/14,235.12 = 6,122.16/x
  3. Step 3: Cross multiply
    10,314x = 14,235.12 × 6,122.16
  4. Step 4: Simplify right side
    10,314x = 87,149,682.26
  5. Step 5: Solve for x
    x = 87,149,682.26/10,314
  6. Step 6: Final answer
    x = 8,449.65

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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.