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Finding the Fourth Proportional to 13,980.64, 19,292.88 and 7,692.88

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Solution

The fourth proportional to 13,980.64, 19,292.88 and 7,692.88 is: 10,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.64 : 19,292.88 = 7,692.88 : x
  2. Step 2: Convert to fraction form
    13,980.64/19,292.88 = 7,692.88/x
  3. Step 3: Cross multiply
    13,980.64x = 19,292.88 × 7,692.88
  4. Step 4: Simplify right side
    13,980.64x = 148,417,810.69
  5. Step 5: Solve for x
    x = 148,417,810.69/13,980.64
  6. Step 6: Final answer
    x = 10,615.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.