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Finding the Fourth Proportional to 8,784, 12,124.80 and 6,307.20

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Solution

The fourth proportional to 8,784, 12,124.80 and 6,307.20 is: 8,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784 : 12,124.80 = 6,307.20 : x
  2. Step 2: Convert to fraction form
    8,784/12,124.80 = 6,307.20/x
  3. Step 3: Cross multiply
    8,784x = 12,124.80 × 6,307.20
  4. Step 4: Simplify right side
    8,784x = 76,473,538.56
  5. Step 5: Solve for x
    x = 76,473,538.56/8,784
  6. Step 6: Final answer
    x = 8,706.00

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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.