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Finding the Fourth Proportional to 13,053.95, 18,006.24 and 7,745

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Solution

The fourth proportional to 13,053.95, 18,006.24 and 7,745 is: 10,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.95 : 18,006.24 = 7,745 : x
  2. Step 2: Convert to fraction form
    13,053.95/18,006.24 = 7,745/x
  3. Step 3: Cross multiply
    13,053.95x = 18,006.24 × 7,745
  4. Step 4: Simplify right side
    13,053.95x = 139,458,328.80
  5. Step 5: Solve for x
    x = 139,458,328.80/13,053.95
  6. Step 6: Final answer
    x = 10,683.23

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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.