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Finding the Fourth Proportional to 30,865.52, 42,593.62 and 17,438.16

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Solution

The fourth proportional to 30,865.52, 42,593.62 and 17,438.16 is: 24,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.52 : 42,593.62 = 17,438.16 : x
  2. Step 2: Convert to fraction form
    30,865.52/42,593.62 = 17,438.16/x
  3. Step 3: Cross multiply
    30,865.52x = 42,593.62 × 17,438.16
  4. Step 4: Simplify right side
    30,865.52x = 742,754,360.54
  5. Step 5: Solve for x
    x = 742,754,360.54/30,865.52
  6. Step 6: Final answer
    x = 24,064.21

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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.