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Finding the Fourth Proportional to 4,340.80, 6,509.60 and 1,419.20

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Solution

The fourth proportional to 4,340.80, 6,509.60 and 1,419.20 is: 2,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.80 : 6,509.60 = 1,419.20 : x
  2. Step 2: Convert to fraction form
    4,340.80/6,509.60 = 1,419.20/x
  3. Step 3: Cross multiply
    4,340.80x = 6,509.60 × 1,419.20
  4. Step 4: Simplify right side
    4,340.80x = 9,238,424.32
  5. Step 5: Solve for x
    x = 9,238,424.32/4,340.80
  6. Step 6: Final answer
    x = 2,128.28

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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.