Home / 1,539.14-2,123.83-971.76

Finding the Fourth Proportional to 1,539.14, 2,123.83 and 971.76

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Solution

The fourth proportional to 1,539.14, 2,123.83 and 971.76 is: 1,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.14 : 2,123.83 = 971.76 : x
  2. Step 2: Convert to fraction form
    1,539.14/2,123.83 = 971.76/x
  3. Step 3: Cross multiply
    1,539.14x = 2,123.83 × 971.76
  4. Step 4: Simplify right side
    1,539.14x = 2,063,853.04
  5. Step 5: Solve for x
    x = 2,063,853.04/1,539.14
  6. Step 6: Final answer
    x = 1,340.91

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1.5x scale

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.