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Finding the Fourth Proportional to 5,735, 7,902.18 and 5,340.55

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Solution

The fourth proportional to 5,735, 7,902.18 and 5,340.55 is: 7,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735 : 7,902.18 = 5,340.55 : x
  2. Step 2: Convert to fraction form
    5,735/7,902.18 = 5,340.55/x
  3. Step 3: Cross multiply
    5,735x = 7,902.18 × 5,340.55
  4. Step 4: Simplify right side
    5,735x = 42,201,987.40
  5. Step 5: Solve for x
    x = 42,201,987.40/5,735
  6. Step 6: Final answer
    x = 7,358.67

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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.