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Finding the Fourth Proportional to 8,107.60, 11,187.60 and 4,570

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Solution

The fourth proportional to 8,107.60, 11,187.60 and 4,570 is: 6,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.60 : 11,187.60 = 4,570 : x
  2. Step 2: Convert to fraction form
    8,107.60/11,187.60 = 4,570/x
  3. Step 3: Cross multiply
    8,107.60x = 11,187.60 × 4,570
  4. Step 4: Simplify right side
    8,107.60x = 51,127,332
  5. Step 5: Solve for x
    x = 51,127,332/8,107.60
  6. Step 6: Final answer
    x = 6,306.10

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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.