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Finding the Fourth Proportional to 15,730.56, 23,561.81 and 7,398.09

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Solution

The fourth proportional to 15,730.56, 23,561.81 and 7,398.09 is: 11,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.56 : 23,561.81 = 7,398.09 : x
  2. Step 2: Convert to fraction form
    15,730.56/23,561.81 = 7,398.09/x
  3. Step 3: Cross multiply
    15,730.56x = 23,561.81 × 7,398.09
  4. Step 4: Simplify right side
    15,730.56x = 174,312,390.94
  5. Step 5: Solve for x
    x = 174,312,390.94/15,730.56
  6. Step 6: Final answer
    x = 11,081.13

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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.