Home / 1,683.74-2,323.26-975.53

Finding the Fourth Proportional to 1,683.74, 2,323.26 and 975.53

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Solution

The fourth proportional to 1,683.74, 2,323.26 and 975.53 is: 1,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.74 : 2,323.26 = 975.53 : x
  2. Step 2: Convert to fraction form
    1,683.74/2,323.26 = 975.53/x
  3. Step 3: Cross multiply
    1,683.74x = 2,323.26 × 975.53
  4. Step 4: Simplify right side
    1,683.74x = 2,266,398.21
  5. Step 5: Solve for x
    x = 2,266,398.21/1,683.74
  6. Step 6: Final answer
    x = 1,346.05

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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.