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Finding the Fourth Proportional to 1,980.34, 2,970.53 and 1,920.17

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Solution

The fourth proportional to 1,980.34, 2,970.53 and 1,920.17 is: 2,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.34 : 2,970.53 = 1,920.17 : x
  2. Step 2: Convert to fraction form
    1,980.34/2,970.53 = 1,920.17/x
  3. Step 3: Cross multiply
    1,980.34x = 2,970.53 × 1,920.17
  4. Step 4: Simplify right side
    1,980.34x = 5,703,922.59
  5. Step 5: Solve for x
    x = 5,703,922.59/1,980.34
  6. Step 6: Final answer
    x = 2,880.27

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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.