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Finding the Fourth Proportional to 3,368.02, 4,647.90 and 1,970.50

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Solution

The fourth proportional to 3,368.02, 4,647.90 and 1,970.50 is: 2,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.02 : 4,647.90 = 1,970.50 : x
  2. Step 2: Convert to fraction form
    3,368.02/4,647.90 = 1,970.50/x
  3. Step 3: Cross multiply
    3,368.02x = 4,647.90 × 1,970.50
  4. Step 4: Simplify right side
    3,368.02x = 9,158,686.95
  5. Step 5: Solve for x
    x = 9,158,686.95/3,368.02
  6. Step 6: Final answer
    x = 2,719.31

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1.5x scale

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.