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Finding the Fourth Proportional to 8,564.64, 11,815.88 and 5,376.58

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Solution

The fourth proportional to 8,564.64, 11,815.88 and 5,376.58 is: 7,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.64 : 11,815.88 = 5,376.58 : x
  2. Step 2: Convert to fraction form
    8,564.64/11,815.88 = 5,376.58/x
  3. Step 3: Cross multiply
    8,564.64x = 11,815.88 × 5,376.58
  4. Step 4: Simplify right side
    8,564.64x = 63,528,967.67
  5. Step 5: Solve for x
    x = 63,528,967.67/8,564.64
  6. Step 6: Final answer
    x = 7,417.59

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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.