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Finding the Fourth Proportional to 8,434.76, 11,638.74 and 4,898.12

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Solution

The fourth proportional to 8,434.76, 11,638.74 and 4,898.12 is: 6,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.76 : 11,638.74 = 4,898.12 : x
  2. Step 2: Convert to fraction form
    8,434.76/11,638.74 = 4,898.12/x
  3. Step 3: Cross multiply
    8,434.76x = 11,638.74 × 4,898.12
  4. Step 4: Simplify right side
    8,434.76x = 57,007,945.17
  5. Step 5: Solve for x
    x = 57,007,945.17/8,434.76
  6. Step 6: Final answer
    x = 6,758.69

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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.