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Finding the Fourth Proportional to 5,637.62, 7,780.83 and 5,388.47

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Solution

The fourth proportional to 5,637.62, 7,780.83 and 5,388.47 is: 7,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.62 : 7,780.83 = 5,388.47 : x
  2. Step 2: Convert to fraction form
    5,637.62/7,780.83 = 5,388.47/x
  3. Step 3: Cross multiply
    5,637.62x = 7,780.83 × 5,388.47
  4. Step 4: Simplify right side
    5,637.62x = 41,926,730.13
  5. Step 5: Solve for x
    x = 41,926,730.13/5,637.62
  6. Step 6: Final answer
    x = 7,436.96

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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.