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Finding the Fourth Proportional to 12,838.98, 19,258.47 and 7,006.98

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Solution

The fourth proportional to 12,838.98, 19,258.47 and 7,006.98 is: 10,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.98 : 19,258.47 = 7,006.98 : x
  2. Step 2: Convert to fraction form
    12,838.98/19,258.47 = 7,006.98/x
  3. Step 3: Cross multiply
    12,838.98x = 19,258.47 × 7,006.98
  4. Step 4: Simplify right side
    12,838.98x = 134,943,714.12
  5. Step 5: Solve for x
    x = 134,943,714.12/12,838.98
  6. Step 6: Final answer
    x = 10,510.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.