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Finding the Fourth Proportional to 10,420.04, 14,375.10 and 6,228.32

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Solution

The fourth proportional to 10,420.04, 14,375.10 and 6,228.32 is: 8,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.04 : 14,375.10 = 6,228.32 : x
  2. Step 2: Convert to fraction form
    10,420.04/14,375.10 = 6,228.32/x
  3. Step 3: Cross multiply
    10,420.04x = 14,375.10 × 6,228.32
  4. Step 4: Simplify right side
    10,420.04x = 89,532,722.83
  5. Step 5: Solve for x
    x = 89,532,722.83/10,420.04
  6. Step 6: Final answer
    x = 8,592.36

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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.