Home / 1,410-1,948.14-1,176.72

Finding the Fourth Proportional to 1,410, 1,948.14 and 1,176.72

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Solution

The fourth proportional to 1,410, 1,948.14 and 1,176.72 is: 1,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410 : 1,948.14 = 1,176.72 : x
  2. Step 2: Convert to fraction form
    1,410/1,948.14 = 1,176.72/x
  3. Step 3: Cross multiply
    1,410x = 1,948.14 × 1,176.72
  4. Step 4: Simplify right side
    1,410x = 2,292,415.30
  5. Step 5: Solve for x
    x = 2,292,415.30/1,410
  6. Step 6: Final answer
    x = 1,625.83

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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.