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Finding the Fourth Proportional to 3,888.30, 5,830.93 and 1,695.53

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Solution

The fourth proportional to 3,888.30, 5,830.93 and 1,695.53 is: 2,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.30 : 5,830.93 = 1,695.53 : x
  2. Step 2: Convert to fraction form
    3,888.30/5,830.93 = 1,695.53/x
  3. Step 3: Cross multiply
    3,888.30x = 5,830.93 × 1,695.53
  4. Step 4: Simplify right side
    3,888.30x = 9,886,516.74
  5. Step 5: Solve for x
    x = 9,886,516.74/3,888.30
  6. Step 6: Final answer
    x = 2,542.63

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1.5x scale

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.