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Finding the Fourth Proportional to 30,735.82, 42,415.28 and 17,307.18

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Solution

The fourth proportional to 30,735.82, 42,415.28 and 17,307.18 is: 23,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735.82 : 42,415.28 = 17,307.18 : x
  2. Step 2: Convert to fraction form
    30,735.82/42,415.28 = 17,307.18/x
  3. Step 3: Cross multiply
    30,735.82x = 42,415.28 × 17,307.18
  4. Step 4: Simplify right side
    30,735.82x = 734,088,885.71
  5. Step 5: Solve for x
    x = 734,088,885.71/30,735.82
  6. Step 6: Final answer
    x = 23,883.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.