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Finding the Fourth Proportional to 19,920.59, 27,491.55 and 10,970

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Solution

The fourth proportional to 19,920.59, 27,491.55 and 10,970 is: 15,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.59 : 27,491.55 = 10,970 : x
  2. Step 2: Convert to fraction form
    19,920.59/27,491.55 = 10,970/x
  3. Step 3: Cross multiply
    19,920.59x = 27,491.55 × 10,970
  4. Step 4: Simplify right side
    19,920.59x = 301,582,303.50
  5. Step 5: Solve for x
    x = 301,582,303.50/19,920.59
  6. Step 6: Final answer
    x = 15,139.23

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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.