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Finding the Fourth Proportional to 4,547, 6,275.40 and 2,684

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Solution

The fourth proportional to 4,547, 6,275.40 and 2,684 is: 3,704.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547 : 6,275.40 = 2,684 : x
  2. Step 2: Convert to fraction form
    4,547/6,275.40 = 2,684/x
  3. Step 3: Cross multiply
    4,547x = 6,275.40 × 2,684
  4. Step 4: Simplify right side
    4,547x = 16,843,173.60
  5. Step 5: Solve for x
    x = 16,843,173.60/4,547
  6. Step 6: Final answer
    x = 3,704.24

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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.