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Finding the Fourth Proportional to 9,617.76, 13,272.91 and 5,426

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Solution

The fourth proportional to 9,617.76, 13,272.91 and 5,426 is: 7,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.76 : 13,272.91 = 5,426 : x
  2. Step 2: Convert to fraction form
    9,617.76/13,272.91 = 5,426/x
  3. Step 3: Cross multiply
    9,617.76x = 13,272.91 × 5,426
  4. Step 4: Simplify right side
    9,617.76x = 72,018,809.66
  5. Step 5: Solve for x
    x = 72,018,809.66/9,617.76
  6. Step 6: Final answer
    x = 7,488.11

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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.