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Finding the Fourth Proportional to 7,853.70, 10,835.91 and 4,869.66

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Solution

The fourth proportional to 7,853.70, 10,835.91 and 4,869.66 is: 6,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.70 : 10,835.91 = 4,869.66 : x
  2. Step 2: Convert to fraction form
    7,853.70/10,835.91 = 4,869.66/x
  3. Step 3: Cross multiply
    7,853.70x = 10,835.91 × 4,869.66
  4. Step 4: Simplify right side
    7,853.70x = 52,767,197.49
  5. Step 5: Solve for x
    x = 52,767,197.49/7,853.70
  6. Step 6: Final answer
    x = 6,718.77

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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.