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Finding the Fourth Proportional to 6,689.64, 10,035.12 and 2,307.40

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Solution

The fourth proportional to 6,689.64, 10,035.12 and 2,307.40 is: 3,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.64 : 10,035.12 = 2,307.40 : x
  2. Step 2: Convert to fraction form
    6,689.64/10,035.12 = 2,307.40/x
  3. Step 3: Cross multiply
    6,689.64x = 10,035.12 × 2,307.40
  4. Step 4: Simplify right side
    6,689.64x = 23,155,035.89
  5. Step 5: Solve for x
    x = 23,155,035.89/6,689.64
  6. Step 6: Final answer
    x = 3,461.33

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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.