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Finding the Fourth Proportional to 6,152.40, 9,235.80 and 3,970.20

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Solution

The fourth proportional to 6,152.40, 9,235.80 and 3,970.20 is: 5,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.40 : 9,235.80 = 3,970.20 : x
  2. Step 2: Convert to fraction form
    6,152.40/9,235.80 = 3,970.20/x
  3. Step 3: Cross multiply
    6,152.40x = 9,235.80 × 3,970.20
  4. Step 4: Simplify right side
    6,152.40x = 36,667,973.16
  5. Step 5: Solve for x
    x = 36,667,973.16/6,152.40
  6. Step 6: Final answer
    x = 5,959.95

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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.