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Finding the Fourth Proportional to 3,289.95, 4,931.70 and 1,314.99

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Solution

The fourth proportional to 3,289.95, 4,931.70 and 1,314.99 is: 1,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.95 : 4,931.70 = 1,314.99 : x
  2. Step 2: Convert to fraction form
    3,289.95/4,931.70 = 1,314.99/x
  3. Step 3: Cross multiply
    3,289.95x = 4,931.70 × 1,314.99
  4. Step 4: Simplify right side
    3,289.95x = 6,485,136.18
  5. Step 5: Solve for x
    x = 6,485,136.18/3,289.95
  6. Step 6: Final answer
    x = 1,971.20

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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.