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Finding the Fourth Proportional to 9,670.40, 14,505.60 and 6,851.60

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Solution

The fourth proportional to 9,670.40, 14,505.60 and 6,851.60 is: 10,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.40 : 14,505.60 = 6,851.60 : x
  2. Step 2: Convert to fraction form
    9,670.40/14,505.60 = 6,851.60/x
  3. Step 3: Cross multiply
    9,670.40x = 14,505.60 × 6,851.60
  4. Step 4: Simplify right side
    9,670.40x = 99,386,568.96
  5. Step 5: Solve for x
    x = 99,386,568.96/9,670.40
  6. Step 6: Final answer
    x = 10,277.40

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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.