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Finding the Fourth Proportional to 13,400, 18,492.04 and 7,432.08

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Solution

The fourth proportional to 13,400, 18,492.04 and 7,432.08 is: 10,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400 : 18,492.04 = 7,432.08 : x
  2. Step 2: Convert to fraction form
    13,400/18,492.04 = 7,432.08/x
  3. Step 3: Cross multiply
    13,400x = 18,492.04 × 7,432.08
  4. Step 4: Simplify right side
    13,400x = 137,434,320.64
  5. Step 5: Solve for x
    x = 137,434,320.64/13,400
  6. Step 6: Final answer
    x = 10,256.29

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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.