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Finding the Fourth Proportional to 5,235.76, 7,854.79 and 1,725.62

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Solution

The fourth proportional to 5,235.76, 7,854.79 and 1,725.62 is: 2,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.76 : 7,854.79 = 1,725.62 : x
  2. Step 2: Convert to fraction form
    5,235.76/7,854.79 = 1,725.62/x
  3. Step 3: Cross multiply
    5,235.76x = 7,854.79 × 1,725.62
  4. Step 4: Simplify right side
    5,235.76x = 13,554,398.04
  5. Step 5: Solve for x
    x = 13,554,398.04/5,235.76
  6. Step 6: Final answer
    x = 2,588.81

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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.