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Finding the Fourth Proportional to 3,077.49, 4,615.83 and 856.47

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Solution

The fourth proportional to 3,077.49, 4,615.83 and 856.47 is: 1,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.49 : 4,615.83 = 856.47 : x
  2. Step 2: Convert to fraction form
    3,077.49/4,615.83 = 856.47/x
  3. Step 3: Cross multiply
    3,077.49x = 4,615.83 × 856.47
  4. Step 4: Simplify right side
    3,077.49x = 3,953,334.67
  5. Step 5: Solve for x
    x = 3,953,334.67/3,077.49
  6. Step 6: Final answer
    x = 1,284.60

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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.