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Finding the Fourth Proportional to 7,827.84, 11,715.84 and 5,235.84

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Solution

The fourth proportional to 7,827.84, 11,715.84 and 5,235.84 is: 7,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.84 : 11,715.84 = 5,235.84 : x
  2. Step 2: Convert to fraction form
    7,827.84/11,715.84 = 5,235.84/x
  3. Step 3: Cross multiply
    7,827.84x = 11,715.84 × 5,235.84
  4. Step 4: Simplify right side
    7,827.84x = 61,342,263.71
  5. Step 5: Solve for x
    x = 61,342,263.71/7,827.84
  6. Step 6: Final answer
    x = 7,836.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.