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Finding the Fourth Proportional to 13,984, 19,298.08 and 7,696.64

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Solution

The fourth proportional to 13,984, 19,298.08 and 7,696.64 is: 10,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984 : 19,298.08 = 7,696.64 : x
  2. Step 2: Convert to fraction form
    13,984/19,298.08 = 7,696.64/x
  3. Step 3: Cross multiply
    13,984x = 19,298.08 × 7,696.64
  4. Step 4: Simplify right side
    13,984x = 148,530,374.45
  5. Step 5: Solve for x
    x = 148,530,374.45/13,984
  6. Step 6: Final answer
    x = 10,621.45

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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.