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Finding the Fourth Proportional to 9,307.86, 12,827.16 and 9,137.10

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Solution

The fourth proportional to 9,307.86, 12,827.16 and 9,137.10 is: 12,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.86 : 12,827.16 = 9,137.10 : x
  2. Step 2: Convert to fraction form
    9,307.86/12,827.16 = 9,137.10/x
  3. Step 3: Cross multiply
    9,307.86x = 12,827.16 × 9,137.10
  4. Step 4: Simplify right side
    9,307.86x = 117,203,043.64
  5. Step 5: Solve for x
    x = 117,203,043.64/9,307.86
  6. Step 6: Final answer
    x = 12,591.84

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Double scale
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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.