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Finding the Fourth Proportional to 30,987.84, 46,486 and 11,264.16

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Solution

The fourth proportional to 30,987.84, 46,486 and 11,264.16 is: 16,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,987.84 : 46,486 = 11,264.16 : x
  2. Step 2: Convert to fraction form
    30,987.84/46,486 = 11,264.16/x
  3. Step 3: Cross multiply
    30,987.84x = 46,486 × 11,264.16
  4. Step 4: Simplify right side
    30,987.84x = 523,625,741.76
  5. Step 5: Solve for x
    x = 523,625,741.76/30,987.84
  6. Step 6: Final answer
    x = 16,897.78

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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.