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Finding the Fourth Proportional to 8,970.78, 13,456.16 and 2,730.23

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Solution

The fourth proportional to 8,970.78, 13,456.16 and 2,730.23 is: 4,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.78 : 13,456.16 = 2,730.23 : x
  2. Step 2: Convert to fraction form
    8,970.78/13,456.16 = 2,730.23/x
  3. Step 3: Cross multiply
    8,970.78x = 13,456.16 × 2,730.23
  4. Step 4: Simplify right side
    8,970.78x = 36,738,411.72
  5. Step 5: Solve for x
    x = 36,738,411.72/8,970.78
  6. Step 6: Final answer
    x = 4,095.34

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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.