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Finding the Fourth Proportional to 13,641.72, 20,461.86 and 4,407

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Solution

The fourth proportional to 13,641.72, 20,461.86 and 4,407 is: 6,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.72 : 20,461.86 = 4,407 : x
  2. Step 2: Convert to fraction form
    13,641.72/20,461.86 = 4,407/x
  3. Step 3: Cross multiply
    13,641.72x = 20,461.86 × 4,407
  4. Step 4: Simplify right side
    13,641.72x = 90,175,417.02
  5. Step 5: Solve for x
    x = 90,175,417.02/13,641.72
  6. Step 6: Final answer
    x = 6,610.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.