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Finding the Fourth Proportional to 21,053.84, 31,584 and 7,009.05

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Solution

The fourth proportional to 21,053.84, 31,584 and 7,009.05 is: 10,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.84 : 31,584 = 7,009.05 : x
  2. Step 2: Convert to fraction form
    21,053.84/31,584 = 7,009.05/x
  3. Step 3: Cross multiply
    21,053.84x = 31,584 × 7,009.05
  4. Step 4: Simplify right side
    21,053.84x = 221,373,835.20
  5. Step 5: Solve for x
    x = 221,373,835.20/21,053.84
  6. Step 6: Final answer
    x = 10,514.65

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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.