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Finding the Fourth Proportional to 9,853.71, 14,782.80 and 3,280.16

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Solution

The fourth proportional to 9,853.71, 14,782.80 and 3,280.16 is: 4,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.71 : 14,782.80 = 3,280.16 : x
  2. Step 2: Convert to fraction form
    9,853.71/14,782.80 = 3,280.16/x
  3. Step 3: Cross multiply
    9,853.71x = 14,782.80 × 3,280.16
  4. Step 4: Simplify right side
    9,853.71x = 48,489,875.33
  5. Step 5: Solve for x
    x = 48,489,875.33/9,853.71
  6. Step 6: Final answer
    x = 4,920.98

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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.