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Finding the Fourth Proportional to 30,784.50, 42,482.54 and 17,355.66

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Solution

The fourth proportional to 30,784.50, 42,482.54 and 17,355.66 is: 23,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784.50 : 42,482.54 = 17,355.66 : x
  2. Step 2: Convert to fraction form
    30,784.50/42,482.54 = 17,355.66/x
  3. Step 3: Cross multiply
    30,784.50x = 42,482.54 × 17,355.66
  4. Step 4: Simplify right side
    30,784.50x = 737,312,475.53
  5. Step 5: Solve for x
    x = 737,312,475.53/30,784.50
  6. Step 6: Final answer
    x = 23,950.77

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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.