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Finding the Fourth Proportional to 11,789, 16,269.20 and 6,484.20

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Solution

The fourth proportional to 11,789, 16,269.20 and 6,484.20 is: 8,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789 : 16,269.20 = 6,484.20 : x
  2. Step 2: Convert to fraction form
    11,789/16,269.20 = 6,484.20/x
  3. Step 3: Cross multiply
    11,789x = 16,269.20 × 6,484.20
  4. Step 4: Simplify right side
    11,789x = 105,492,746.64
  5. Step 5: Solve for x
    x = 105,492,746.64/11,789
  6. Step 6: Final answer
    x = 8,948.41

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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.