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Finding the Fourth Proportional to 15,408, 21,263.04 and 8,784

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Solution

The fourth proportional to 15,408, 21,263.04 and 8,784 is: 12,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,408 : 21,263.04 = 8,784 : x
  2. Step 2: Convert to fraction form
    15,408/21,263.04 = 8,784/x
  3. Step 3: Cross multiply
    15,408x = 21,263.04 × 8,784
  4. Step 4: Simplify right side
    15,408x = 186,774,543.36
  5. Step 5: Solve for x
    x = 186,774,543.36/15,408
  6. Step 6: Final answer
    x = 12,121.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.