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Finding the Fourth Proportional to 13,840, 19,098.56 and 7,552.32

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Solution

The fourth proportional to 13,840, 19,098.56 and 7,552.32 is: 10,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840 : 19,098.56 = 7,552.32 : x
  2. Step 2: Convert to fraction form
    13,840/19,098.56 = 7,552.32/x
  3. Step 3: Cross multiply
    13,840x = 19,098.56 × 7,552.32
  4. Step 4: Simplify right side
    13,840x = 144,238,436.66
  5. Step 5: Solve for x
    x = 144,238,436.66/13,840
  6. Step 6: Final answer
    x = 10,421.85

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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.