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Finding the Fourth Proportional to 11,570.30, 15,965.88 and 6,853.67

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Solution

The fourth proportional to 11,570.30, 15,965.88 and 6,853.67 is: 9,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.30 : 15,965.88 = 6,853.67 : x
  2. Step 2: Convert to fraction form
    11,570.30/15,965.88 = 6,853.67/x
  3. Step 3: Cross multiply
    11,570.30x = 15,965.88 × 6,853.67
  4. Step 4: Simplify right side
    11,570.30x = 109,424,872.78
  5. Step 5: Solve for x
    x = 109,424,872.78/11,570.30
  6. Step 6: Final answer
    x = 9,457.39

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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.