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Finding the Fourth Proportional to 6,530.12, 9,011.62 and 3,840.62

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Solution

The fourth proportional to 6,530.12, 9,011.62 and 3,840.62 is: 5,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.12 : 9,011.62 = 3,840.62 : x
  2. Step 2: Convert to fraction form
    6,530.12/9,011.62 = 3,840.62/x
  3. Step 3: Cross multiply
    6,530.12x = 9,011.62 × 3,840.62
  4. Step 4: Simplify right side
    6,530.12x = 34,610,153.34
  5. Step 5: Solve for x
    x = 34,610,153.34/6,530.12
  6. Step 6: Final answer
    x = 5,300.08

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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.