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Finding the Fourth Proportional to 15,582.61, 21,503.70 and 8,509.09

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Solution

The fourth proportional to 15,582.61, 21,503.70 and 8,509.09 is: 11,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.61 : 21,503.70 = 8,509.09 : x
  2. Step 2: Convert to fraction form
    15,582.61/21,503.70 = 8,509.09/x
  3. Step 3: Cross multiply
    15,582.61x = 21,503.70 × 8,509.09
  4. Step 4: Simplify right side
    15,582.61x = 182,976,918.63
  5. Step 5: Solve for x
    x = 182,976,918.63/15,582.61
  6. Step 6: Final answer
    x = 11,742.38

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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.