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Finding the Fourth Proportional to 9,386.15, 12,883.88 and 8,300.12

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Solution

The fourth proportional to 9,386.15, 12,883.88 and 8,300.12 is: 11,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.15 : 12,883.88 = 8,300.12 : x
  2. Step 2: Convert to fraction form
    9,386.15/12,883.88 = 8,300.12/x
  3. Step 3: Cross multiply
    9,386.15x = 12,883.88 × 8,300.12
  4. Step 4: Simplify right side
    9,386.15x = 106,937,750.07
  5. Step 5: Solve for x
    x = 106,937,750.07/9,386.15
  6. Step 6: Final answer
    x = 11,393.14

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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.