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Finding the Fourth Proportional to 32,784, 49,180.80 and 10,590

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Solution

The fourth proportional to 32,784, 49,180.80 and 10,590 is: 15,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784 : 49,180.80 = 10,590 : x
  2. Step 2: Convert to fraction form
    32,784/49,180.80 = 10,590/x
  3. Step 3: Cross multiply
    32,784x = 49,180.80 × 10,590
  4. Step 4: Simplify right side
    32,784x = 520,824,672.00
  5. Step 5: Solve for x
    x = 520,824,672.00/32,784
  6. Step 6: Final answer
    x = 15,886.55

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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.