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Finding the Fourth Proportional to 5,246.77, 7,870.19 and 1,959.84

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Solution

The fourth proportional to 5,246.77, 7,870.19 and 1,959.84 is: 2,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.77 : 7,870.19 = 1,959.84 : x
  2. Step 2: Convert to fraction form
    5,246.77/7,870.19 = 1,959.84/x
  3. Step 3: Cross multiply
    5,246.77x = 7,870.19 × 1,959.84
  4. Step 4: Simplify right side
    5,246.77x = 15,424,313.17
  5. Step 5: Solve for x
    x = 15,424,313.17/5,246.77
  6. Step 6: Final answer
    x = 2,939.77

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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.