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Finding the Fourth Proportional to 5,283, 7,924.50 and 2,205

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Solution

The fourth proportional to 5,283, 7,924.50 and 2,205 is: 3,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283 : 7,924.50 = 2,205 : x
  2. Step 2: Convert to fraction form
    5,283/7,924.50 = 2,205/x
  3. Step 3: Cross multiply
    5,283x = 7,924.50 × 2,205
  4. Step 4: Simplify right side
    5,283x = 17,473,522.50
  5. Step 5: Solve for x
    x = 17,473,522.50/5,283
  6. Step 6: Final answer
    x = 3,307.50

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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.