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Finding the Fourth Proportional to 2,088.99, 3,133.49 and 856.41

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Solution

The fourth proportional to 2,088.99, 3,133.49 and 856.41 is: 1,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.99 : 3,133.49 = 856.41 : x
  2. Step 2: Convert to fraction form
    2,088.99/3,133.49 = 856.41/x
  3. Step 3: Cross multiply
    2,088.99x = 3,133.49 × 856.41
  4. Step 4: Simplify right side
    2,088.99x = 2,683,552.17
  5. Step 5: Solve for x
    x = 2,683,552.17/2,088.99
  6. Step 6: Final answer
    x = 1,284.62

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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.