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Finding the Fourth Proportional to 9,502, 14,255.20 and 3,346

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Solution

The fourth proportional to 9,502, 14,255.20 and 3,346 is: 5,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502 : 14,255.20 = 3,346 : x
  2. Step 2: Convert to fraction form
    9,502/14,255.20 = 3,346/x
  3. Step 3: Cross multiply
    9,502x = 14,255.20 × 3,346
  4. Step 4: Simplify right side
    9,502x = 47,697,899.20
  5. Step 5: Solve for x
    x = 47,697,899.20/9,502
  6. Step 6: Final answer
    x = 5,019.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.