Home / 1,783.08-2,677.14-964.26

Finding the Fourth Proportional to 1,783.08, 2,677.14 and 964.26

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Solution

The fourth proportional to 1,783.08, 2,677.14 and 964.26 is: 1,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.08 : 2,677.14 = 964.26 : x
  2. Step 2: Convert to fraction form
    1,783.08/2,677.14 = 964.26/x
  3. Step 3: Cross multiply
    1,783.08x = 2,677.14 × 964.26
  4. Step 4: Simplify right side
    1,783.08x = 2,581,459.02
  5. Step 5: Solve for x
    x = 2,581,459.02/1,783.08
  6. Step 6: Final answer
    x = 1,447.75

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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.