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Finding the Fourth Proportional to 9,801.71, 14,702.61 and 2,782.45

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Solution

The fourth proportional to 9,801.71, 14,702.61 and 2,782.45 is: 4,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.71 : 14,702.61 = 2,782.45 : x
  2. Step 2: Convert to fraction form
    9,801.71/14,702.61 = 2,782.45/x
  3. Step 3: Cross multiply
    9,801.71x = 14,702.61 × 2,782.45
  4. Step 4: Simplify right side
    9,801.71x = 40,909,306.01
  5. Step 5: Solve for x
    x = 40,909,306.01/9,801.71
  6. Step 6: Final answer
    x = 4,173.69

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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.