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Finding the Fourth Proportional to 7,895.36, 10,941.68 and 7,784

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Solution

The fourth proportional to 7,895.36, 10,941.68 and 7,784 is: 10,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.36 : 10,941.68 = 7,784 : x
  2. Step 2: Convert to fraction form
    7,895.36/10,941.68 = 7,784/x
  3. Step 3: Cross multiply
    7,895.36x = 10,941.68 × 7,784
  4. Step 4: Simplify right side
    7,895.36x = 85,170,037.12
  5. Step 5: Solve for x
    x = 85,170,037.12/7,895.36
  6. Step 6: Final answer
    x = 10,787.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.