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Finding the Fourth Proportional to 5,235.94, 7,853.80 and 1,538.08

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Solution

The fourth proportional to 5,235.94, 7,853.80 and 1,538.08 is: 2,307.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.94 : 7,853.80 = 1,538.08 : x
  2. Step 2: Convert to fraction form
    5,235.94/7,853.80 = 1,538.08/x
  3. Step 3: Cross multiply
    5,235.94x = 7,853.80 × 1,538.08
  4. Step 4: Simplify right side
    5,235.94x = 12,079,772.70
  5. Step 5: Solve for x
    x = 12,079,772.70/5,235.94
  6. Step 6: Final answer
    x = 2,307.09

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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.