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Finding the Fourth Proportional to 3,292.50, 4,938.75 and 860.50

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Solution

The fourth proportional to 3,292.50, 4,938.75 and 860.50 is: 1,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.50 : 4,938.75 = 860.50 : x
  2. Step 2: Convert to fraction form
    3,292.50/4,938.75 = 860.50/x
  3. Step 3: Cross multiply
    3,292.50x = 4,938.75 × 860.50
  4. Step 4: Simplify right side
    3,292.50x = 4,249,794.38
  5. Step 5: Solve for x
    x = 4,249,794.38/3,292.50
  6. Step 6: Final answer
    x = 1,290.75

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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.