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Finding the Fourth Proportional to 7,513.64, 11,269.80 and 2,319

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Solution

The fourth proportional to 7,513.64, 11,269.80 and 2,319 is: 3,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.64 : 11,269.80 = 2,319 : x
  2. Step 2: Convert to fraction form
    7,513.64/11,269.80 = 2,319/x
  3. Step 3: Cross multiply
    7,513.64x = 11,269.80 × 2,319
  4. Step 4: Simplify right side
    7,513.64x = 26,134,666.20
  5. Step 5: Solve for x
    x = 26,134,666.20/7,513.64
  6. Step 6: Final answer
    x = 3,478.30

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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.