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Finding the Fourth Proportional to 3,656.69, 5,484.36 and 988.25

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Solution

The fourth proportional to 3,656.69, 5,484.36 and 988.25 is: 1,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.69 : 5,484.36 = 988.25 : x
  2. Step 2: Convert to fraction form
    3,656.69/5,484.36 = 988.25/x
  3. Step 3: Cross multiply
    3,656.69x = 5,484.36 × 988.25
  4. Step 4: Simplify right side
    3,656.69x = 5,419,920.34
  5. Step 5: Solve for x
    x = 5,419,920.34/3,656.69
  6. Step 6: Final answer
    x = 1,482.19

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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.