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Finding the Fourth Proportional to 9,612.10, 13,264.86 and 5,420.44

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Solution

The fourth proportional to 9,612.10, 13,264.86 and 5,420.44 is: 7,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.10 : 13,264.86 = 5,420.44 : x
  2. Step 2: Convert to fraction form
    9,612.10/13,264.86 = 5,420.44/x
  3. Step 3: Cross multiply
    9,612.10x = 13,264.86 × 5,420.44
  4. Step 4: Simplify right side
    9,612.10x = 71,901,377.74
  5. Step 5: Solve for x
    x = 71,901,377.74/9,612.10
  6. Step 6: Final answer
    x = 7,480.30

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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.