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Finding the Fourth Proportional to 4,782.95, 7,174.84 and 1,320.20

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Solution

The fourth proportional to 4,782.95, 7,174.84 and 1,320.20 is: 1,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.95 : 7,174.84 = 1,320.20 : x
  2. Step 2: Convert to fraction form
    4,782.95/7,174.84 = 1,320.20/x
  3. Step 3: Cross multiply
    4,782.95x = 7,174.84 × 1,320.20
  4. Step 4: Simplify right side
    4,782.95x = 9,472,223.77
  5. Step 5: Solve for x
    x = 9,472,223.77/4,782.95
  6. Step 6: Final answer
    x = 1,980.41

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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.