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Finding the Fourth Proportional to 8,788.68, 13,184.64 and 7,159.50

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Solution

The fourth proportional to 8,788.68, 13,184.64 and 7,159.50 is: 10,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,788.68 : 13,184.64 = 7,159.50 : x
  2. Step 2: Convert to fraction form
    8,788.68/13,184.64 = 7,159.50/x
  3. Step 3: Cross multiply
    8,788.68x = 13,184.64 × 7,159.50
  4. Step 4: Simplify right side
    8,788.68x = 94,395,430.08
  5. Step 5: Solve for x
    x = 94,395,430.08/8,788.68
  6. Step 6: Final answer
    x = 10,740.57

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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.