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Finding the Fourth Proportional to 9,808.40, 14,712.60 and 6,510.80

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Solution

The fourth proportional to 9,808.40, 14,712.60 and 6,510.80 is: 9,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.40 : 14,712.60 = 6,510.80 : x
  2. Step 2: Convert to fraction form
    9,808.40/14,712.60 = 6,510.80/x
  3. Step 3: Cross multiply
    9,808.40x = 14,712.60 × 6,510.80
  4. Step 4: Simplify right side
    9,808.40x = 95,790,796.08
  5. Step 5: Solve for x
    x = 95,790,796.08/9,808.40
  6. Step 6: Final answer
    x = 9,766.20

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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.