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Finding the Fourth Proportional to 9,200.40, 13,800.60 and 7,232.10

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Solution

The fourth proportional to 9,200.40, 13,800.60 and 7,232.10 is: 10,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.40 : 13,800.60 = 7,232.10 : x
  2. Step 2: Convert to fraction form
    9,200.40/13,800.60 = 7,232.10/x
  3. Step 3: Cross multiply
    9,200.40x = 13,800.60 × 7,232.10
  4. Step 4: Simplify right side
    9,200.40x = 99,807,319.26
  5. Step 5: Solve for x
    x = 99,807,319.26/9,200.40
  6. Step 6: Final answer
    x = 10,848.15

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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.