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Finding the Fourth Proportional to 9,899.07, 14,829.96 and 7,697.10

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Solution

The fourth proportional to 9,899.07, 14,829.96 and 7,697.10 is: 11,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.07 : 14,829.96 = 7,697.10 : x
  2. Step 2: Convert to fraction form
    9,899.07/14,829.96 = 7,697.10/x
  3. Step 3: Cross multiply
    9,899.07x = 14,829.96 × 7,697.10
  4. Step 4: Simplify right side
    9,899.07x = 114,147,685.12
  5. Step 5: Solve for x
    x = 114,147,685.12/9,899.07
  6. Step 6: Final answer
    x = 11,531.15

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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.