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Finding the Fourth Proportional to 9,386.90, 12,884.91 and 8,300.87

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Solution

The fourth proportional to 9,386.90, 12,884.91 and 8,300.87 is: 11,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.90 : 12,884.91 = 8,300.87 : x
  2. Step 2: Convert to fraction form
    9,386.90/12,884.91 = 8,300.87/x
  3. Step 3: Cross multiply
    9,386.90x = 12,884.91 × 8,300.87
  4. Step 4: Simplify right side
    9,386.90x = 106,955,898.45
  5. Step 5: Solve for x
    x = 106,955,898.45/9,386.90
  6. Step 6: Final answer
    x = 11,394.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.