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Finding the Fourth Proportional to 30,329.31, 45,494.01 and 15,530.16

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Solution

The fourth proportional to 30,329.31, 45,494.01 and 15,530.16 is: 23,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,329.31 : 45,494.01 = 15,530.16 : x
  2. Step 2: Convert to fraction form
    30,329.31/45,494.01 = 15,530.16/x
  3. Step 3: Cross multiply
    30,329.31x = 45,494.01 × 15,530.16
  4. Step 4: Simplify right side
    30,329.31x = 706,529,254.34
  5. Step 5: Solve for x
    x = 706,529,254.34/30,329.31
  6. Step 6: Final answer
    x = 23,295.26

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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.