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Finding the Fourth Proportional to 1,981.09, 2,970.53 and 810.77

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Solution

The fourth proportional to 1,981.09, 2,970.53 and 810.77 is: 1,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.09 : 2,970.53 = 810.77 : x
  2. Step 2: Convert to fraction form
    1,981.09/2,970.53 = 810.77/x
  3. Step 3: Cross multiply
    1,981.09x = 2,970.53 × 810.77
  4. Step 4: Simplify right side
    1,981.09x = 2,408,412.55
  5. Step 5: Solve for x
    x = 2,408,412.55/1,981.09
  6. Step 6: Final answer
    x = 1,215.70

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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.