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Finding the Fourth Proportional to 15,578.13, 23,347.76 and 7,789.17

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Solution

The fourth proportional to 15,578.13, 23,347.76 and 7,789.17 is: 11,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.13 : 23,347.76 = 7,789.17 : x
  2. Step 2: Convert to fraction form
    15,578.13/23,347.76 = 7,789.17/x
  3. Step 3: Cross multiply
    15,578.13x = 23,347.76 × 7,789.17
  4. Step 4: Simplify right side
    15,578.13x = 181,859,632.81
  5. Step 5: Solve for x
    x = 181,859,632.81/15,578.13
  6. Step 6: Final answer
    x = 11,674.03

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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.