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Finding the Fourth Proportional to 17,732, 26,598.36 and 5,420

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Solution

The fourth proportional to 17,732, 26,598.36 and 5,420 is: 8,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732 : 26,598.36 = 5,420 : x
  2. Step 2: Convert to fraction form
    17,732/26,598.36 = 5,420/x
  3. Step 3: Cross multiply
    17,732x = 26,598.36 × 5,420
  4. Step 4: Simplify right side
    17,732x = 144,163,111.20
  5. Step 5: Solve for x
    x = 144,163,111.20/17,732
  6. Step 6: Final answer
    x = 8,130.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.