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Finding the Fourth Proportional to 7,497, 10,345.86 and 4,185

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Solution

The fourth proportional to 7,497, 10,345.86 and 4,185 is: 5,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497 : 10,345.86 = 4,185 : x
  2. Step 2: Convert to fraction form
    7,497/10,345.86 = 4,185/x
  3. Step 3: Cross multiply
    7,497x = 10,345.86 × 4,185
  4. Step 4: Simplify right side
    7,497x = 43,297,424.10
  5. Step 5: Solve for x
    x = 43,297,424.10/7,497
  6. Step 6: Final answer
    x = 5,775.30

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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.