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Finding the Fourth Proportional to 3,089.71, 4,264.46 and 1,970.39

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Solution

The fourth proportional to 3,089.71, 4,264.46 and 1,970.39 is: 2,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.71 : 4,264.46 = 1,970.39 : x
  2. Step 2: Convert to fraction form
    3,089.71/4,264.46 = 1,970.39/x
  3. Step 3: Cross multiply
    3,089.71x = 4,264.46 × 1,970.39
  4. Step 4: Simplify right side
    3,089.71x = 8,402,642.32
  5. Step 5: Solve for x
    x = 8,402,642.32/3,089.71
  6. Step 6: Final answer
    x = 2,719.56

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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.