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Finding the Fourth Proportional to 6,140, 8,473.40 and 3,345.68

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Solution

The fourth proportional to 6,140, 8,473.40 and 3,345.68 is: 4,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140 : 8,473.40 = 3,345.68 : x
  2. Step 2: Convert to fraction form
    6,140/8,473.40 = 3,345.68/x
  3. Step 3: Cross multiply
    6,140x = 8,473.40 × 3,345.68
  4. Step 4: Simplify right side
    6,140x = 28,349,284.91
  5. Step 5: Solve for x
    x = 28,349,284.91/6,140
  6. Step 6: Final answer
    x = 4,617.15

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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.