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Finding the Fourth Proportional to 28,617.76, 42,937.44 and 11,989

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Solution

The fourth proportional to 28,617.76, 42,937.44 and 11,989 is: 17,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,617.76 : 42,937.44 = 11,989 : x
  2. Step 2: Convert to fraction form
    28,617.76/42,937.44 = 11,989/x
  3. Step 3: Cross multiply
    28,617.76x = 42,937.44 × 11,989
  4. Step 4: Simplify right side
    28,617.76x = 514,776,968.16
  5. Step 5: Solve for x
    x = 514,776,968.16/28,617.76
  6. Step 6: Final answer
    x = 17,988.02

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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.