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Finding the Fourth Proportional to 15,156.16, 22,825.48 and 13,423

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Solution

The fourth proportional to 15,156.16, 22,825.48 and 13,423 is: 20,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,156.16 : 22,825.48 = 13,423 : x
  2. Step 2: Convert to fraction form
    15,156.16/22,825.48 = 13,423/x
  3. Step 3: Cross multiply
    15,156.16x = 22,825.48 × 13,423
  4. Step 4: Simplify right side
    15,156.16x = 306,386,418.04
  5. Step 5: Solve for x
    x = 306,386,418.04/15,156.16
  6. Step 6: Final answer
    x = 20,215.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.