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Finding the Fourth Proportional to 6,557, 9,048.66 and 3,613

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Solution

The fourth proportional to 6,557, 9,048.66 and 3,613 is: 4,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557 : 9,048.66 = 3,613 : x
  2. Step 2: Convert to fraction form
    6,557/9,048.66 = 3,613/x
  3. Step 3: Cross multiply
    6,557x = 9,048.66 × 3,613
  4. Step 4: Simplify right side
    6,557x = 32,692,808.58
  5. Step 5: Solve for x
    x = 32,692,808.58/6,557
  6. Step 6: Final answer
    x = 4,985.94

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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.