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Finding the Fourth Proportional to 7,877.70, 11,813.58 and 2,946.24

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Solution

The fourth proportional to 7,877.70, 11,813.58 and 2,946.24 is: 4,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.70 : 11,813.58 = 2,946.24 : x
  2. Step 2: Convert to fraction form
    7,877.70/11,813.58 = 2,946.24/x
  3. Step 3: Cross multiply
    7,877.70x = 11,813.58 × 2,946.24
  4. Step 4: Simplify right side
    7,877.70x = 34,805,641.94
  5. Step 5: Solve for x
    x = 34,805,641.94/7,877.70
  6. Step 6: Final answer
    x = 4,418.25

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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.