Home / 1,761.14-2,430.40-975.26

Finding the Fourth Proportional to 1,761.14, 2,430.40 and 975.26

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Solution

The fourth proportional to 1,761.14, 2,430.40 and 975.26 is: 1,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.14 : 2,430.40 = 975.26 : x
  2. Step 2: Convert to fraction form
    1,761.14/2,430.40 = 975.26/x
  3. Step 3: Cross multiply
    1,761.14x = 2,430.40 × 975.26
  4. Step 4: Simplify right side
    1,761.14x = 2,370,271.90
  5. Step 5: Solve for x
    x = 2,370,271.90/1,761.14
  6. Step 6: Final answer
    x = 1,345.87

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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.