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Finding the Fourth Proportional to 10,305.92, 14,187.74 and 9,835.76

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Solution

The fourth proportional to 10,305.92, 14,187.74 and 9,835.76 is: 13,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.92 : 14,187.74 = 9,835.76 : x
  2. Step 2: Convert to fraction form
    10,305.92/14,187.74 = 9,835.76/x
  3. Step 3: Cross multiply
    10,305.92x = 14,187.74 × 9,835.76
  4. Step 4: Simplify right side
    10,305.92x = 139,547,205.58
  5. Step 5: Solve for x
    x = 139,547,205.58/10,305.92
  6. Step 6: Final answer
    x = 13,540.49

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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.