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Finding the Fourth Proportional to 10,617, 14,650.34 and 6,142.20

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Solution

The fourth proportional to 10,617, 14,650.34 and 6,142.20 is: 8,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617 : 14,650.34 = 6,142.20 : x
  2. Step 2: Convert to fraction form
    10,617/14,650.34 = 6,142.20/x
  3. Step 3: Cross multiply
    10,617x = 14,650.34 × 6,142.20
  4. Step 4: Simplify right side
    10,617x = 89,985,318.35
  5. Step 5: Solve for x
    x = 89,985,318.35/10,617
  6. Step 6: Final answer
    x = 8,475.59

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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.