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Finding the Fourth Proportional to 14,009, 19,332.48 and 7,721.24

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Solution

The fourth proportional to 14,009, 19,332.48 and 7,721.24 is: 10,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009 : 19,332.48 = 7,721.24 : x
  2. Step 2: Convert to fraction form
    14,009/19,332.48 = 7,721.24/x
  3. Step 3: Cross multiply
    14,009x = 19,332.48 × 7,721.24
  4. Step 4: Simplify right side
    14,009x = 149,270,717.88
  5. Step 5: Solve for x
    x = 149,270,717.88/14,009
  6. Step 6: Final answer
    x = 10,655.34

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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.