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Finding the Fourth Proportional to 1,977.99, 2,967.05 and 745.10

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Solution

The fourth proportional to 1,977.99, 2,967.05 and 745.10 is: 1,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.99 : 2,967.05 = 745.10 : x
  2. Step 2: Convert to fraction form
    1,977.99/2,967.05 = 745.10/x
  3. Step 3: Cross multiply
    1,977.99x = 2,967.05 × 745.10
  4. Step 4: Simplify right side
    1,977.99x = 2,210,748.96
  5. Step 5: Solve for x
    x = 2,210,748.96/1,977.99
  6. Step 6: Final answer
    x = 1,117.67

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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.