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Finding the Fourth Proportional to 3,386.60, 4,674 and 1,970.54

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Solution

The fourth proportional to 3,386.60, 4,674 and 1,970.54 is: 2,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.60 : 4,674 = 1,970.54 : x
  2. Step 2: Convert to fraction form
    3,386.60/4,674 = 1,970.54/x
  3. Step 3: Cross multiply
    3,386.60x = 4,674 × 1,970.54
  4. Step 4: Simplify right side
    3,386.60x = 9,210,303.96
  5. Step 5: Solve for x
    x = 9,210,303.96/3,386.60
  6. Step 6: Final answer
    x = 2,719.63

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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.