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Finding the Fourth Proportional to 10,530.31, 15,796.31 and 6,148.21

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Solution

The fourth proportional to 10,530.31, 15,796.31 and 6,148.21 is: 9,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.31 : 15,796.31 = 6,148.21 : x
  2. Step 2: Convert to fraction form
    10,530.31/15,796.31 = 6,148.21/x
  3. Step 3: Cross multiply
    10,530.31x = 15,796.31 × 6,148.21
  4. Step 4: Simplify right side
    10,530.31x = 97,119,031.11
  5. Step 5: Solve for x
    x = 97,119,031.11/10,530.31
  6. Step 6: Final answer
    x = 9,222.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.