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Finding the Fourth Proportional to 13,531.86, 18,674.24 and 7,482.11

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Solution

The fourth proportional to 13,531.86, 18,674.24 and 7,482.11 is: 10,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.86 : 18,674.24 = 7,482.11 : x
  2. Step 2: Convert to fraction form
    13,531.86/18,674.24 = 7,482.11/x
  3. Step 3: Cross multiply
    13,531.86x = 18,674.24 × 7,482.11
  4. Step 4: Simplify right side
    13,531.86x = 139,722,587.06
  5. Step 5: Solve for x
    x = 139,722,587.06/13,531.86
  6. Step 6: Final answer
    x = 10,325.45

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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.