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Finding the Fourth Proportional to 15,894, 23,835.24 and 7,124.40

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Solution

The fourth proportional to 15,894, 23,835.24 and 7,124.40 is: 10,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 23,835.24 = 7,124.40 : x
  2. Step 2: Convert to fraction form
    15,894/23,835.24 = 7,124.40/x
  3. Step 3: Cross multiply
    15,894x = 23,835.24 × 7,124.40
  4. Step 4: Simplify right side
    15,894x = 169,811,783.86
  5. Step 5: Solve for x
    x = 169,811,783.86/15,894
  6. Step 6: Final answer
    x = 10,684.02

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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.