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Finding the Fourth Proportional to 2,154.88, 3,210.88 and 2,085.12

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Solution

The fourth proportional to 2,154.88, 3,210.88 and 2,085.12 is: 3,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.88 : 3,210.88 = 2,085.12 : x
  2. Step 2: Convert to fraction form
    2,154.88/3,210.88 = 2,085.12/x
  3. Step 3: Cross multiply
    2,154.88x = 3,210.88 × 2,085.12
  4. Step 4: Simplify right side
    2,154.88x = 6,695,070.11
  5. Step 5: Solve for x
    x = 6,695,070.11/2,154.88
  6. Step 6: Final answer
    x = 3,106.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.