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Finding the Fourth Proportional to 3,656.84, 5,482.86 and 1,315.67

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Solution

The fourth proportional to 3,656.84, 5,482.86 and 1,315.67 is: 1,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.84 : 5,482.86 = 1,315.67 : x
  2. Step 2: Convert to fraction form
    3,656.84/5,482.86 = 1,315.67/x
  3. Step 3: Cross multiply
    3,656.84x = 5,482.86 × 1,315.67
  4. Step 4: Simplify right side
    3,656.84x = 7,213,602.07
  5. Step 5: Solve for x
    x = 7,213,602.07/3,656.84
  6. Step 6: Final answer
    x = 1,972.64

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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.