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Finding the Fourth Proportional to 30,902.76, 46,329.18 and 12,417

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Solution

The fourth proportional to 30,902.76, 46,329.18 and 12,417 is: 18,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.76 : 46,329.18 = 12,417 : x
  2. Step 2: Convert to fraction form
    30,902.76/46,329.18 = 12,417/x
  3. Step 3: Cross multiply
    30,902.76x = 46,329.18 × 12,417
  4. Step 4: Simplify right side
    30,902.76x = 575,269,428.06
  5. Step 5: Solve for x
    x = 575,269,428.06/30,902.76
  6. Step 6: Final answer
    x = 18,615.47

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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.