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Finding the Fourth Proportional to 39,312, 58,968 and 11,612.16

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Solution

The fourth proportional to 39,312, 58,968 and 11,612.16 is: 17,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,312 : 58,968 = 11,612.16 : x
  2. Step 2: Convert to fraction form
    39,312/58,968 = 11,612.16/x
  3. Step 3: Cross multiply
    39,312x = 58,968 × 11,612.16
  4. Step 4: Simplify right side
    39,312x = 684,745,850.88
  5. Step 5: Solve for x
    x = 684,745,850.88/39,312
  6. Step 6: Final answer
    x = 17,418.24

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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.