Home / 1,430.31-1,974.09-1,038.48

Finding the Fourth Proportional to 1,430.31, 1,974.09 and 1,038.48

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Solution

The fourth proportional to 1,430.31, 1,974.09 and 1,038.48 is: 1,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.31 : 1,974.09 = 1,038.48 : x
  2. Step 2: Convert to fraction form
    1,430.31/1,974.09 = 1,038.48/x
  3. Step 3: Cross multiply
    1,430.31x = 1,974.09 × 1,038.48
  4. Step 4: Simplify right side
    1,430.31x = 2,050,043.63
  5. Step 5: Solve for x
    x = 2,050,043.63/1,430.31
  6. Step 6: Final answer
    x = 1,433.28

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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.