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Finding the Fourth Proportional to 3,246.72, 4,870.56 and 938.40

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Solution

The fourth proportional to 3,246.72, 4,870.56 and 938.40 is: 1,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.72 : 4,870.56 = 938.40 : x
  2. Step 2: Convert to fraction form
    3,246.72/4,870.56 = 938.40/x
  3. Step 3: Cross multiply
    3,246.72x = 4,870.56 × 938.40
  4. Step 4: Simplify right side
    3,246.72x = 4,570,533.50
  5. Step 5: Solve for x
    x = 4,570,533.50/3,246.72
  6. Step 6: Final answer
    x = 1,407.74

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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.