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Finding the Fourth Proportional to 2,153.97, 2,970.11 and 1,489.67

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Solution

The fourth proportional to 2,153.97, 2,970.11 and 1,489.67 is: 2,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.97 : 2,970.11 = 1,489.67 : x
  2. Step 2: Convert to fraction form
    2,153.97/2,970.11 = 1,489.67/x
  3. Step 3: Cross multiply
    2,153.97x = 2,970.11 × 1,489.67
  4. Step 4: Simplify right side
    2,153.97x = 4,424,483.76
  5. Step 5: Solve for x
    x = 4,424,483.76/2,153.97
  6. Step 6: Final answer
    x = 2,054.11

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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.