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Finding the Fourth Proportional to 8,490.64, 11,717.12 and 5,305.78

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Solution

The fourth proportional to 8,490.64, 11,717.12 and 5,305.78 is: 7,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.64 : 11,717.12 = 5,305.78 : x
  2. Step 2: Convert to fraction form
    8,490.64/11,717.12 = 5,305.78/x
  3. Step 3: Cross multiply
    8,490.64x = 11,717.12 × 5,305.78
  4. Step 4: Simplify right side
    8,490.64x = 62,168,460.95
  5. Step 5: Solve for x
    x = 62,168,460.95/8,490.64
  6. Step 6: Final answer
    x = 7,322.00

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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.