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Finding the Fourth Proportional to 3,585.35, 5,378.16 and 988.49

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Solution

The fourth proportional to 3,585.35, 5,378.16 and 988.49 is: 1,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.35 : 5,378.16 = 988.49 : x
  2. Step 2: Convert to fraction form
    3,585.35/5,378.16 = 988.49/x
  3. Step 3: Cross multiply
    3,585.35x = 5,378.16 × 988.49
  4. Step 4: Simplify right side
    3,585.35x = 5,316,257.38
  5. Step 5: Solve for x
    x = 5,316,257.38/3,585.35
  6. Step 6: Final answer
    x = 1,482.77

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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.