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Finding the Fourth Proportional to 8,630, 11,909.40 and 4,904

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Solution

The fourth proportional to 8,630, 11,909.40 and 4,904 is: 6,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,630 : 11,909.40 = 4,904 : x
  2. Step 2: Convert to fraction form
    8,630/11,909.40 = 4,904/x
  3. Step 3: Cross multiply
    8,630x = 11,909.40 × 4,904
  4. Step 4: Simplify right side
    8,630x = 58,403,697.60
  5. Step 5: Solve for x
    x = 58,403,697.60/8,630
  6. Step 6: Final answer
    x = 6,767.52

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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.