Home / 1,458.29-2,188.35-971.69

Finding the Fourth Proportional to 1,458.29, 2,188.35 and 971.69

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Solution

The fourth proportional to 1,458.29, 2,188.35 and 971.69 is: 1,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.29 : 2,188.35 = 971.69 : x
  2. Step 2: Convert to fraction form
    1,458.29/2,188.35 = 971.69/x
  3. Step 3: Cross multiply
    1,458.29x = 2,188.35 × 971.69
  4. Step 4: Simplify right side
    1,458.29x = 2,126,393.25
  5. Step 5: Solve for x
    x = 2,126,393.25/1,458.29
  6. Step 6: Final answer
    x = 1,458.14

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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.