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Finding the Fourth Proportional to 9,285.71, 13,905.83 and 8,386.13

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Solution

The fourth proportional to 9,285.71, 13,905.83 and 8,386.13 is: 12,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.71 : 13,905.83 = 8,386.13 : x
  2. Step 2: Convert to fraction form
    9,285.71/13,905.83 = 8,386.13/x
  3. Step 3: Cross multiply
    9,285.71x = 13,905.83 × 8,386.13
  4. Step 4: Simplify right side
    9,285.71x = 116,616,153.87
  5. Step 5: Solve for x
    x = 116,616,153.87/9,285.71
  6. Step 6: Final answer
    x = 12,558.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.