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Finding the Fourth Proportional to 8,875, 13,312.50 and 2,719

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Solution

The fourth proportional to 8,875, 13,312.50 and 2,719 is: 4,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,875 : 13,312.50 = 2,719 : x
  2. Step 2: Convert to fraction form
    8,875/13,312.50 = 2,719/x
  3. Step 3: Cross multiply
    8,875x = 13,312.50 × 2,719
  4. Step 4: Simplify right side
    8,875x = 36,196,687.50
  5. Step 5: Solve for x
    x = 36,196,687.50/8,875
  6. Step 6: Final answer
    x = 4,078.50

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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.