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Finding the Fourth Proportional to 6,871.40, 10,307.10 and 6,410.60

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Solution

The fourth proportional to 6,871.40, 10,307.10 and 6,410.60 is: 9,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.40 : 10,307.10 = 6,410.60 : x
  2. Step 2: Convert to fraction form
    6,871.40/10,307.10 = 6,410.60/x
  3. Step 3: Cross multiply
    6,871.40x = 10,307.10 × 6,410.60
  4. Step 4: Simplify right side
    6,871.40x = 66,074,695.26
  5. Step 5: Solve for x
    x = 66,074,695.26/6,871.40
  6. Step 6: Final answer
    x = 9,615.90

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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.