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Finding the Fourth Proportional to 9,355.64, 12,895.62 and 8,830.76

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Solution

The fourth proportional to 9,355.64, 12,895.62 and 8,830.76 is: 12,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.64 : 12,895.62 = 8,830.76 : x
  2. Step 2: Convert to fraction form
    9,355.64/12,895.62 = 8,830.76/x
  3. Step 3: Cross multiply
    9,355.64x = 12,895.62 × 8,830.76
  4. Step 4: Simplify right side
    9,355.64x = 113,878,125.27
  5. Step 5: Solve for x
    x = 113,878,125.27/9,355.64
  6. Step 6: Final answer
    x = 12,172.14

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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.