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Finding the Fourth Proportional to 1,477.50, 2,039.22 and 856.50

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Solution

The fourth proportional to 1,477.50, 2,039.22 and 856.50 is: 1,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.50 : 2,039.22 = 856.50 : x
  2. Step 2: Convert to fraction form
    1,477.50/2,039.22 = 856.50/x
  3. Step 3: Cross multiply
    1,477.50x = 2,039.22 × 856.50
  4. Step 4: Simplify right side
    1,477.50x = 1,746,591.93
  5. Step 5: Solve for x
    x = 1,746,591.93/1,477.50
  6. Step 6: Final answer
    x = 1,182.13

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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.