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Finding the Fourth Proportional to 6,491, 8,957.58 and 3,547

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Solution

The fourth proportional to 6,491, 8,957.58 and 3,547 is: 4,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491 : 8,957.58 = 3,547 : x
  2. Step 2: Convert to fraction form
    6,491/8,957.58 = 3,547/x
  3. Step 3: Cross multiply
    6,491x = 8,957.58 × 3,547
  4. Step 4: Simplify right side
    6,491x = 31,772,536.26
  5. Step 5: Solve for x
    x = 31,772,536.26/6,491
  6. Step 6: Final answer
    x = 4,894.86

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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.