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Finding the Fourth Proportional to 7,461.34, 10,278.74 and 6,395.74

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Solution

The fourth proportional to 7,461.34, 10,278.74 and 6,395.74 is: 8,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.34 : 10,278.74 = 6,395.74 : x
  2. Step 2: Convert to fraction form
    7,461.34/10,278.74 = 6,395.74/x
  3. Step 3: Cross multiply
    7,461.34x = 10,278.74 × 6,395.74
  4. Step 4: Simplify right side
    7,461.34x = 65,740,138.86
  5. Step 5: Solve for x
    x = 65,740,138.86/7,461.34
  6. Step 6: Final answer
    x = 8,810.77

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Half scale
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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.