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Finding the Fourth Proportional to 38,656.48, 57,981.07 and 12,354.16

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Solution

The fourth proportional to 38,656.48, 57,981.07 and 12,354.16 is: 18,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,656.48 : 57,981.07 = 12,354.16 : x
  2. Step 2: Convert to fraction form
    38,656.48/57,981.07 = 12,354.16/x
  3. Step 3: Cross multiply
    38,656.48x = 57,981.07 × 12,354.16
  4. Step 4: Simplify right side
    38,656.48x = 716,307,415.75
  5. Step 5: Solve for x
    x = 716,307,415.75/38,656.48
  6. Step 6: Final answer
    x = 18,530.07

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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.