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Finding the Fourth Proportional to 13,297.25, 18,350 and 7,328.77

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Solution

The fourth proportional to 13,297.25, 18,350 and 7,328.77 is: 10,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.25 : 18,350 = 7,328.77 : x
  2. Step 2: Convert to fraction form
    13,297.25/18,350 = 7,328.77/x
  3. Step 3: Cross multiply
    13,297.25x = 18,350 × 7,328.77
  4. Step 4: Simplify right side
    13,297.25x = 134,482,929.50
  5. Step 5: Solve for x
    x = 134,482,929.50/13,297.25
  6. Step 6: Final answer
    x = 10,113.59

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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.