Home / 1,761.10-2,430.34-975.18

Finding the Fourth Proportional to 1,761.10, 2,430.34 and 975.18

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Solution

The fourth proportional to 1,761.10, 2,430.34 and 975.18 is: 1,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.10 : 2,430.34 = 975.18 : x
  2. Step 2: Convert to fraction form
    1,761.10/2,430.34 = 975.18/x
  3. Step 3: Cross multiply
    1,761.10x = 2,430.34 × 975.18
  4. Step 4: Simplify right side
    1,761.10x = 2,370,018.96
  5. Step 5: Solve for x
    x = 2,370,018.96/1,761.10
  6. Step 6: Final answer
    x = 1,345.76

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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.