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Finding the Fourth Proportional to 2,160.99, 2,981.12 and 2,077.15

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Solution

The fourth proportional to 2,160.99, 2,981.12 and 2,077.15 is: 2,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.99 : 2,981.12 = 2,077.15 : x
  2. Step 2: Convert to fraction form
    2,160.99/2,981.12 = 2,077.15/x
  3. Step 3: Cross multiply
    2,160.99x = 2,981.12 × 2,077.15
  4. Step 4: Simplify right side
    2,160.99x = 6,192,233.41
  5. Step 5: Solve for x
    x = 6,192,233.41/2,160.99
  6. Step 6: Final answer
    x = 2,865.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.