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Finding the Fourth Proportional to 7,730.64, 11,596 and 5,432.40

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Solution

The fourth proportional to 7,730.64, 11,596 and 5,432.40 is: 8,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.64 : 11,596 = 5,432.40 : x
  2. Step 2: Convert to fraction form
    7,730.64/11,596 = 5,432.40/x
  3. Step 3: Cross multiply
    7,730.64x = 11,596 × 5,432.40
  4. Step 4: Simplify right side
    7,730.64x = 62,994,110.40
  5. Step 5: Solve for x
    x = 62,994,110.40/7,730.64
  6. Step 6: Final answer
    x = 8,148.63

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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.