Home / 2,564.80-3,539.36-1,430.46

Finding the Fourth Proportional to 2,564.80, 3,539.36 and 1,430.46

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Solution

The fourth proportional to 2,564.80, 3,539.36 and 1,430.46 is: 1,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.80 : 3,539.36 = 1,430.46 : x
  2. Step 2: Convert to fraction form
    2,564.80/3,539.36 = 1,430.46/x
  3. Step 3: Cross multiply
    2,564.80x = 3,539.36 × 1,430.46
  4. Step 4: Simplify right side
    2,564.80x = 5,062,916.48
  5. Step 5: Solve for x
    x = 5,062,916.48/2,564.80
  6. Step 6: Final answer
    x = 1,974.00

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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.