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Finding the Fourth Proportional to 11,617.12, 16,036.53 and 7,845.40

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Solution

The fourth proportional to 11,617.12, 16,036.53 and 7,845.40 is: 10,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.12 : 16,036.53 = 7,845.40 : x
  2. Step 2: Convert to fraction form
    11,617.12/16,036.53 = 7,845.40/x
  3. Step 3: Cross multiply
    11,617.12x = 16,036.53 × 7,845.40
  4. Step 4: Simplify right side
    11,617.12x = 125,812,992.46
  5. Step 5: Solve for x
    x = 125,812,992.46/11,617.12
  6. Step 6: Final answer
    x = 10,829.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.