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Finding the Fourth Proportional to 10,530.66, 15,858.48 and 9,377.22

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Solution

The fourth proportional to 10,530.66, 15,858.48 and 9,377.22 is: 14,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.66 : 15,858.48 = 9,377.22 : x
  2. Step 2: Convert to fraction form
    10,530.66/15,858.48 = 9,377.22/x
  3. Step 3: Cross multiply
    10,530.66x = 15,858.48 × 9,377.22
  4. Step 4: Simplify right side
    10,530.66x = 148,708,455.83
  5. Step 5: Solve for x
    x = 148,708,455.83/10,530.66
  6. Step 6: Final answer
    x = 14,121.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.