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Finding the Fourth Proportional to 15,726.79, 23,574.34 and 7,817.14

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Solution

The fourth proportional to 15,726.79, 23,574.34 and 7,817.14 is: 11,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.79 : 23,574.34 = 7,817.14 : x
  2. Step 2: Convert to fraction form
    15,726.79/23,574.34 = 7,817.14/x
  3. Step 3: Cross multiply
    15,726.79x = 23,574.34 × 7,817.14
  4. Step 4: Simplify right side
    15,726.79x = 184,283,916.19
  5. Step 5: Solve for x
    x = 184,283,916.19/15,726.79
  6. Step 6: Final answer
    x = 11,717.83

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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.