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Finding the Fourth Proportional to 9,200.60, 13,800.90 and 6,421.40

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Solution

The fourth proportional to 9,200.60, 13,800.90 and 6,421.40 is: 9,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.60 : 13,800.90 = 6,421.40 : x
  2. Step 2: Convert to fraction form
    9,200.60/13,800.90 = 6,421.40/x
  3. Step 3: Cross multiply
    9,200.60x = 13,800.90 × 6,421.40
  4. Step 4: Simplify right side
    9,200.60x = 88,621,099.26
  5. Step 5: Solve for x
    x = 88,621,099.26/9,200.60
  6. Step 6: Final answer
    x = 9,632.10

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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.