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Finding the Fourth Proportional to 5,698.32, 7,870.68 and 4,123.92

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Solution

The fourth proportional to 5,698.32, 7,870.68 and 4,123.92 is: 5,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.32 : 7,870.68 = 4,123.92 : x
  2. Step 2: Convert to fraction form
    5,698.32/7,870.68 = 4,123.92/x
  3. Step 3: Cross multiply
    5,698.32x = 7,870.68 × 4,123.92
  4. Step 4: Simplify right side
    5,698.32x = 32,458,054.67
  5. Step 5: Solve for x
    x = 32,458,054.67/5,698.32
  6. Step 6: Final answer
    x = 5,696.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.