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Finding the Fourth Proportional to 14,256.80, 21,384.80 and 6,465.60

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Solution

The fourth proportional to 14,256.80, 21,384.80 and 6,465.60 is: 9,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.80 : 21,384.80 = 6,465.60 : x
  2. Step 2: Convert to fraction form
    14,256.80/21,384.80 = 6,465.60/x
  3. Step 3: Cross multiply
    14,256.80x = 21,384.80 × 6,465.60
  4. Step 4: Simplify right side
    14,256.80x = 138,265,562.88
  5. Step 5: Solve for x
    x = 138,265,562.88/14,256.80
  6. Step 6: Final answer
    x = 9,698.22

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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.