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Finding the Fourth Proportional to 7,878.08, 11,813.40 and 2,946.40

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Solution

The fourth proportional to 7,878.08, 11,813.40 and 2,946.40 is: 4,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.08 : 11,813.40 = 2,946.40 : x
  2. Step 2: Convert to fraction form
    7,878.08/11,813.40 = 2,946.40/x
  3. Step 3: Cross multiply
    7,878.08x = 11,813.40 × 2,946.40
  4. Step 4: Simplify right side
    7,878.08x = 34,807,001.76
  5. Step 5: Solve for x
    x = 34,807,001.76/7,878.08
  6. Step 6: Final answer
    x = 4,418.21

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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.