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Finding the Fourth Proportional to 30,347, 45,510.64 and 11,626.04

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Solution

The fourth proportional to 30,347, 45,510.64 and 11,626.04 is: 17,435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,347 : 45,510.64 = 11,626.04 : x
  2. Step 2: Convert to fraction form
    30,347/45,510.64 = 11,626.04/x
  3. Step 3: Cross multiply
    30,347x = 45,510.64 × 11,626.04
  4. Step 4: Simplify right side
    30,347x = 529,108,521.07
  5. Step 5: Solve for x
    x = 529,108,521.07/30,347
  6. Step 6: Final answer
    x = 17,435.28

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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.