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Finding the Fourth Proportional to 28,368.24, 42,551.58 and 8,646

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Solution

The fourth proportional to 28,368.24, 42,551.58 and 8,646 is: 12,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,368.24 : 42,551.58 = 8,646 : x
  2. Step 2: Convert to fraction form
    28,368.24/42,551.58 = 8,646/x
  3. Step 3: Cross multiply
    28,368.24x = 42,551.58 × 8,646
  4. Step 4: Simplify right side
    28,368.24x = 367,900,960.68
  5. Step 5: Solve for x
    x = 367,900,960.68/28,368.24
  6. Step 6: Final answer
    x = 12,968.76

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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.