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Finding the Fourth Proportional to 10,420.10, 15,630 and 2,628.86

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Solution

The fourth proportional to 10,420.10, 15,630 and 2,628.86 is: 3,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.10 : 15,630 = 2,628.86 : x
  2. Step 2: Convert to fraction form
    10,420.10/15,630 = 2,628.86/x
  3. Step 3: Cross multiply
    10,420.10x = 15,630 × 2,628.86
  4. Step 4: Simplify right side
    10,420.10x = 41,089,081.80
  5. Step 5: Solve for x
    x = 41,089,081.80/10,420.10
  6. Step 6: Final answer
    x = 3,943.25

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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.