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Finding the Fourth Proportional to 30,312.54, 45,477.81 and 15,531.84

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Solution

The fourth proportional to 30,312.54, 45,477.81 and 15,531.84 is: 23,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312.54 : 45,477.81 = 15,531.84 : x
  2. Step 2: Convert to fraction form
    30,312.54/45,477.81 = 15,531.84/x
  3. Step 3: Cross multiply
    30,312.54x = 45,477.81 × 15,531.84
  4. Step 4: Simplify right side
    30,312.54x = 706,354,068.47
  5. Step 5: Solve for x
    x = 706,354,068.47/30,312.54
  6. Step 6: Final answer
    x = 23,302.37

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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.