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Finding the Fourth Proportional to 9,781.71, 14,692.86 and 7,909.71

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Solution

The fourth proportional to 9,781.71, 14,692.86 and 7,909.71 is: 11,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.71 : 14,692.86 = 7,909.71 : x
  2. Step 2: Convert to fraction form
    9,781.71/14,692.86 = 7,909.71/x
  3. Step 3: Cross multiply
    9,781.71x = 14,692.86 × 7,909.71
  4. Step 4: Simplify right side
    9,781.71x = 116,216,261.67
  5. Step 5: Solve for x
    x = 116,216,261.67/9,781.71
  6. Step 6: Final answer
    x = 11,880.98

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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.