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Finding the Fourth Proportional to 6,987.40, 9,635.42 and 4,865.40

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Solution

The fourth proportional to 6,987.40, 9,635.42 and 4,865.40 is: 6,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.40 : 9,635.42 = 4,865.40 : x
  2. Step 2: Convert to fraction form
    6,987.40/9,635.42 = 4,865.40/x
  3. Step 3: Cross multiply
    6,987.40x = 9,635.42 × 4,865.40
  4. Step 4: Simplify right side
    6,987.40x = 46,880,172.47
  5. Step 5: Solve for x
    x = 46,880,172.47/6,987.40
  6. Step 6: Final answer
    x = 6,709.24

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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.