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Finding the Fourth Proportional to 14,678.40, 22,017.60 and 10,509.60

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Solution

The fourth proportional to 14,678.40, 22,017.60 and 10,509.60 is: 15,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.40 : 22,017.60 = 10,509.60 : x
  2. Step 2: Convert to fraction form
    14,678.40/22,017.60 = 10,509.60/x
  3. Step 3: Cross multiply
    14,678.40x = 22,017.60 × 10,509.60
  4. Step 4: Simplify right side
    14,678.40x = 231,396,168.96
  5. Step 5: Solve for x
    x = 231,396,168.96/14,678.40
  6. Step 6: Final answer
    x = 15,764.40

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1.5x scale

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.