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Finding the Fourth Proportional to 10,401.64, 14,352.90 and 6,209

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Solution

The fourth proportional to 10,401.64, 14,352.90 and 6,209 is: 8,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.64 : 14,352.90 = 6,209 : x
  2. Step 2: Convert to fraction form
    10,401.64/14,352.90 = 6,209/x
  3. Step 3: Cross multiply
    10,401.64x = 14,352.90 × 6,209
  4. Step 4: Simplify right side
    10,401.64x = 89,117,156.10
  5. Step 5: Solve for x
    x = 89,117,156.10/10,401.64
  6. Step 6: Final answer
    x = 8,567.61

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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.