Home / 1,591.33-2,386.90-975.13

Finding the Fourth Proportional to 1,591.33, 2,386.90 and 975.13

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Solution

The fourth proportional to 1,591.33, 2,386.90 and 975.13 is: 1,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.33 : 2,386.90 = 975.13 : x
  2. Step 2: Convert to fraction form
    1,591.33/2,386.90 = 975.13/x
  3. Step 3: Cross multiply
    1,591.33x = 2,386.90 × 975.13
  4. Step 4: Simplify right side
    1,591.33x = 2,327,537.80
  5. Step 5: Solve for x
    x = 2,327,537.80/1,591.33
  6. Step 6: Final answer
    x = 1,462.64

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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.