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Finding the Fourth Proportional to 15,422.87, 23,146.47 and 7,926.13

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Solution

The fourth proportional to 15,422.87, 23,146.47 and 7,926.13 is: 11,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.87 : 23,146.47 = 7,926.13 : x
  2. Step 2: Convert to fraction form
    15,422.87/23,146.47 = 7,926.13/x
  3. Step 3: Cross multiply
    15,422.87x = 23,146.47 × 7,926.13
  4. Step 4: Simplify right side
    15,422.87x = 183,461,890.63
  5. Step 5: Solve for x
    x = 183,461,890.63/15,422.87
  6. Step 6: Final answer
    x = 11,895.45

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1.5x scale

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.