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Finding the Fourth Proportional to 2,026.47, 3,038.82 and 856.99

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Solution

The fourth proportional to 2,026.47, 3,038.82 and 856.99 is: 1,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.47 : 3,038.82 = 856.99 : x
  2. Step 2: Convert to fraction form
    2,026.47/3,038.82 = 856.99/x
  3. Step 3: Cross multiply
    2,026.47x = 3,038.82 × 856.99
  4. Step 4: Simplify right side
    2,026.47x = 2,604,238.35
  5. Step 5: Solve for x
    x = 2,604,238.35/2,026.47
  6. Step 6: Final answer
    x = 1,285.11

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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.