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Finding the Fourth Proportional to 14,627.78, 20,186.34 and 7,913.40

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Solution

The fourth proportional to 14,627.78, 20,186.34 and 7,913.40 is: 10,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,627.78 : 20,186.34 = 7,913.40 : x
  2. Step 2: Convert to fraction form
    14,627.78/20,186.34 = 7,913.40/x
  3. Step 3: Cross multiply
    14,627.78x = 20,186.34 × 7,913.40
  4. Step 4: Simplify right side
    14,627.78x = 159,742,582.96
  5. Step 5: Solve for x
    x = 159,742,582.96/14,627.78
  6. Step 6: Final answer
    x = 10,920.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.