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Finding the Fourth Proportional to 30,465, 42,047.46 and 17,217

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Solution

The fourth proportional to 30,465, 42,047.46 and 17,217 is: 23,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465 : 42,047.46 = 17,217 : x
  2. Step 2: Convert to fraction form
    30,465/42,047.46 = 17,217/x
  3. Step 3: Cross multiply
    30,465x = 42,047.46 × 17,217
  4. Step 4: Simplify right side
    30,465x = 723,931,118.82
  5. Step 5: Solve for x
    x = 723,931,118.82/30,465
  6. Step 6: Final answer
    x = 23,762.72

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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.