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Finding the Fourth Proportional to 15,005.10, 20,712.87 and 13,430.46

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Solution

The fourth proportional to 15,005.10, 20,712.87 and 13,430.46 is: 18,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005.10 : 20,712.87 = 13,430.46 : x
  2. Step 2: Convert to fraction form
    15,005.10/20,712.87 = 13,430.46/x
  3. Step 3: Cross multiply
    15,005.10x = 20,712.87 × 13,430.46
  4. Step 4: Simplify right side
    15,005.10x = 278,183,372.02
  5. Step 5: Solve for x
    x = 278,183,372.02/15,005.10
  6. Step 6: Final answer
    x = 18,539.25

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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.