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Finding the Fourth Proportional to 3,528.96, 4,870.04 and 1,957

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Solution

The fourth proportional to 3,528.96, 4,870.04 and 1,957 is: 2,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.96 : 4,870.04 = 1,957 : x
  2. Step 2: Convert to fraction form
    3,528.96/4,870.04 = 1,957/x
  3. Step 3: Cross multiply
    3,528.96x = 4,870.04 × 1,957
  4. Step 4: Simplify right side
    3,528.96x = 9,530,668.28
  5. Step 5: Solve for x
    x = 9,530,668.28/3,528.96
  6. Step 6: Final answer
    x = 2,700.70

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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.