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Finding the Fourth Proportional to 15,542.84, 21,455.34 and 9,254

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Solution

The fourth proportional to 15,542.84, 21,455.34 and 9,254 is: 12,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542.84 : 21,455.34 = 9,254 : x
  2. Step 2: Convert to fraction form
    15,542.84/21,455.34 = 9,254/x
  3. Step 3: Cross multiply
    15,542.84x = 21,455.34 × 9,254
  4. Step 4: Simplify right side
    15,542.84x = 198,547,716.36
  5. Step 5: Solve for x
    x = 198,547,716.36/15,542.84
  6. Step 6: Final answer
    x = 12,774.22

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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.