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Finding the Fourth Proportional to 2,130.76, 3,196.36 and 591.76

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Solution

The fourth proportional to 2,130.76, 3,196.36 and 591.76 is: 887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.76 : 3,196.36 = 591.76 : x
  2. Step 2: Convert to fraction form
    2,130.76/3,196.36 = 591.76/x
  3. Step 3: Cross multiply
    2,130.76x = 3,196.36 × 591.76
  4. Step 4: Simplify right side
    2,130.76x = 1,891,477.99
  5. Step 5: Solve for x
    x = 1,891,477.99/2,130.76
  6. Step 6: Final answer
    x = 887.70

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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.