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Finding the Fourth Proportional to 8,640.51, 11,911.17 and 6,114.79

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Solution

The fourth proportional to 8,640.51, 11,911.17 and 6,114.79 is: 8,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.51 : 11,911.17 = 6,114.79 : x
  2. Step 2: Convert to fraction form
    8,640.51/11,911.17 = 6,114.79/x
  3. Step 3: Cross multiply
    8,640.51x = 11,911.17 × 6,114.79
  4. Step 4: Simplify right side
    8,640.51x = 72,834,303.20
  5. Step 5: Solve for x
    x = 72,834,303.20/8,640.51
  6. Step 6: Final answer
    x = 8,429.40

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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.