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Finding the Fourth Proportional to 19,480, 26,882.40 and 10,648

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Solution

The fourth proportional to 19,480, 26,882.40 and 10,648 is: 14,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,480 : 26,882.40 = 10,648 : x
  2. Step 2: Convert to fraction form
    19,480/26,882.40 = 10,648/x
  3. Step 3: Cross multiply
    19,480x = 26,882.40 × 10,648
  4. Step 4: Simplify right side
    19,480x = 286,243,795.20
  5. Step 5: Solve for x
    x = 286,243,795.20/19,480
  6. Step 6: Final answer
    x = 14,694.24

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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.