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Finding the Fourth Proportional to 14,647.92, 20,220.12 and 10,178.16

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Solution

The fourth proportional to 14,647.92, 20,220.12 and 10,178.16 is: 14,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.92 : 20,220.12 = 10,178.16 : x
  2. Step 2: Convert to fraction form
    14,647.92/20,220.12 = 10,178.16/x
  3. Step 3: Cross multiply
    14,647.92x = 20,220.12 × 10,178.16
  4. Step 4: Simplify right side
    14,647.92x = 205,803,616.58
  5. Step 5: Solve for x
    x = 205,803,616.58/14,647.92
  6. Step 6: Final answer
    x = 14,050.02

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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.