Home / 1,620.40-2,430.75-975.24

Finding the Fourth Proportional to 1,620.40, 2,430.75 and 975.24

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Solution

The fourth proportional to 1,620.40, 2,430.75 and 975.24 is: 1,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.40 : 2,430.75 = 975.24 : x
  2. Step 2: Convert to fraction form
    1,620.40/2,430.75 = 975.24/x
  3. Step 3: Cross multiply
    1,620.40x = 2,430.75 × 975.24
  4. Step 4: Simplify right side
    1,620.40x = 2,370,552.48
  5. Step 5: Solve for x
    x = 2,370,552.48/1,620.40
  6. Step 6: Final answer
    x = 1,462.94

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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.