Home / 1,327.33-1,829.40-972.50

Finding the Fourth Proportional to 1,327.33, 1,829.40 and 972.50

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Solution

The fourth proportional to 1,327.33, 1,829.40 and 972.50 is: 1,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.33 : 1,829.40 = 972.50 : x
  2. Step 2: Convert to fraction form
    1,327.33/1,829.40 = 972.50/x
  3. Step 3: Cross multiply
    1,327.33x = 1,829.40 × 972.50
  4. Step 4: Simplify right side
    1,327.33x = 1,779,077.49
  5. Step 5: Solve for x
    x = 1,779,077.49/1,327.33
  6. Step 6: Final answer
    x = 1,340.34

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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.