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Finding the Fourth Proportional to 13,547.10, 20,230.64 and 13,400.49

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Solution

The fourth proportional to 13,547.10, 20,230.64 and 13,400.49 is: 20,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.10 : 20,230.64 = 13,400.49 : x
  2. Step 2: Convert to fraction form
    13,547.10/20,230.64 = 13,400.49/x
  3. Step 3: Cross multiply
    13,547.10x = 20,230.64 × 13,400.49
  4. Step 4: Simplify right side
    13,547.10x = 271,100,489.01
  5. Step 5: Solve for x
    x = 271,100,489.01/13,547.10
  6. Step 6: Final answer
    x = 20,011.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.