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Finding the Fourth Proportional to 12,506.40, 17,258.40 and 6,917.04

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Solution

The fourth proportional to 12,506.40, 17,258.40 and 6,917.04 is: 9,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.40 : 17,258.40 = 6,917.04 : x
  2. Step 2: Convert to fraction form
    12,506.40/17,258.40 = 6,917.04/x
  3. Step 3: Cross multiply
    12,506.40x = 17,258.40 × 6,917.04
  4. Step 4: Simplify right side
    12,506.40x = 119,377,043.14
  5. Step 5: Solve for x
    x = 119,377,043.14/12,506.40
  6. Step 6: Final answer
    x = 9,545.28

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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.