Home / 1,981.52-2,970.30-1,288.64

Finding the Fourth Proportional to 1,981.52, 2,970.30 and 1,288.64

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Solution

The fourth proportional to 1,981.52, 2,970.30 and 1,288.64 is: 1,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.52 : 2,970.30 = 1,288.64 : x
  2. Step 2: Convert to fraction form
    1,981.52/2,970.30 = 1,288.64/x
  3. Step 3: Cross multiply
    1,981.52x = 2,970.30 × 1,288.64
  4. Step 4: Simplify right side
    1,981.52x = 3,827,647.39
  5. Step 5: Solve for x
    x = 3,827,647.39/1,981.52
  6. Step 6: Final answer
    x = 1,931.67

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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.