Home / 2,530.40-3,795.80-971.15

Finding the Fourth Proportional to 2,530.40, 3,795.80 and 971.15

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Solution

The fourth proportional to 2,530.40, 3,795.80 and 971.15 is: 1,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.40 : 3,795.80 = 971.15 : x
  2. Step 2: Convert to fraction form
    2,530.40/3,795.80 = 971.15/x
  3. Step 3: Cross multiply
    2,530.40x = 3,795.80 × 971.15
  4. Step 4: Simplify right side
    2,530.40x = 3,686,267.34
  5. Step 5: Solve for x
    x = 3,686,267.34/2,530.40
  6. Step 6: Final answer
    x = 1,456.80

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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.