Home / 1,761.23-2,430.41-975.26

Finding the Fourth Proportional to 1,761.23, 2,430.41 and 975.26

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Solution

The fourth proportional to 1,761.23, 2,430.41 and 975.26 is: 1,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.23 : 2,430.41 = 975.26 : x
  2. Step 2: Convert to fraction form
    1,761.23/2,430.41 = 975.26/x
  3. Step 3: Cross multiply
    1,761.23x = 2,430.41 × 975.26
  4. Step 4: Simplify right side
    1,761.23x = 2,370,264.63
  5. Step 5: Solve for x
    x = 2,370,264.63/1,761.23
  6. Step 6: Final answer
    x = 1,345.80

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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.