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Finding the Fourth Proportional to 9,687.40, 14,548.70 and 8,477.80

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Solution

The fourth proportional to 9,687.40, 14,548.70 and 8,477.80 is: 12,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.40 : 14,548.70 = 8,477.80 : x
  2. Step 2: Convert to fraction form
    9,687.40/14,548.70 = 8,477.80/x
  3. Step 3: Cross multiply
    9,687.40x = 14,548.70 × 8,477.80
  4. Step 4: Simplify right side
    9,687.40x = 123,340,968.86
  5. Step 5: Solve for x
    x = 123,340,968.86/9,687.40
  6. Step 6: Final answer
    x = 12,732.10

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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.