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Finding the Fourth Proportional to 11,711.72, 17,547.74 and 7,085

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Solution

The fourth proportional to 11,711.72, 17,547.74 and 7,085 is: 10,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.72 : 17,547.74 = 7,085 : x
  2. Step 2: Convert to fraction form
    11,711.72/17,547.74 = 7,085/x
  3. Step 3: Cross multiply
    11,711.72x = 17,547.74 × 7,085
  4. Step 4: Simplify right side
    11,711.72x = 124,325,737.90
  5. Step 5: Solve for x
    x = 124,325,737.90/11,711.72
  6. Step 6: Final answer
    x = 10,615.50

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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.