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Finding the Fourth Proportional to 30,478.08, 45,721.92 and 12,948

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Solution

The fourth proportional to 30,478.08, 45,721.92 and 12,948 is: 19,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.08 : 45,721.92 = 12,948 : x
  2. Step 2: Convert to fraction form
    30,478.08/45,721.92 = 12,948/x
  3. Step 3: Cross multiply
    30,478.08x = 45,721.92 × 12,948
  4. Step 4: Simplify right side
    30,478.08x = 592,007,420.16
  5. Step 5: Solve for x
    x = 592,007,420.16/30,478.08
  6. Step 6: Final answer
    x = 19,424.04

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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.