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Finding the Fourth Proportional to 7,116.84, 9,815.34 and 5,345.40

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Solution

The fourth proportional to 7,116.84, 9,815.34 and 5,345.40 is: 7,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.84 : 9,815.34 = 5,345.40 : x
  2. Step 2: Convert to fraction form
    7,116.84/9,815.34 = 5,345.40/x
  3. Step 3: Cross multiply
    7,116.84x = 9,815.34 × 5,345.40
  4. Step 4: Simplify right side
    7,116.84x = 52,466,918.44
  5. Step 5: Solve for x
    x = 52,466,918.44/7,116.84
  6. Step 6: Final answer
    x = 7,372.22

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1.5x scale

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.