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Finding the Fourth Proportional to 9,235.40, 13,853.10 and 6,465.20

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Solution

The fourth proportional to 9,235.40, 13,853.10 and 6,465.20 is: 9,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.40 : 13,853.10 = 6,465.20 : x
  2. Step 2: Convert to fraction form
    9,235.40/13,853.10 = 6,465.20/x
  3. Step 3: Cross multiply
    9,235.40x = 13,853.10 × 6,465.20
  4. Step 4: Simplify right side
    9,235.40x = 89,563,062.12
  5. Step 5: Solve for x
    x = 89,563,062.12/9,235.40
  6. Step 6: Final answer
    x = 9,697.80

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Similar ratio
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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.