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Finding the Fourth Proportional to 13,957.70, 19,258.89 and 8,294.18

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Solution

The fourth proportional to 13,957.70, 19,258.89 and 8,294.18 is: 11,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.70 : 19,258.89 = 8,294.18 : x
  2. Step 2: Convert to fraction form
    13,957.70/19,258.89 = 8,294.18/x
  3. Step 3: Cross multiply
    13,957.70x = 19,258.89 × 8,294.18
  4. Step 4: Simplify right side
    13,957.70x = 159,736,700.26
  5. Step 5: Solve for x
    x = 159,736,700.26/13,957.70
  6. Step 6: Final answer
    x = 11,444.34

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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.