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Finding the Fourth Proportional to 9,681.40, 14,524.80 and 4,137.40

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Solution

The fourth proportional to 9,681.40, 14,524.80 and 4,137.40 is: 6,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.40 : 14,524.80 = 4,137.40 : x
  2. Step 2: Convert to fraction form
    9,681.40/14,524.80 = 4,137.40/x
  3. Step 3: Cross multiply
    9,681.40x = 14,524.80 × 4,137.40
  4. Step 4: Simplify right side
    9,681.40x = 60,094,907.52
  5. Step 5: Solve for x
    x = 60,094,907.52/9,681.40
  6. Step 6: Final answer
    x = 6,207.25

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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.