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Finding the Fourth Proportional to 30,878.76, 46,329.30 and 12,148.47

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Solution

The fourth proportional to 30,878.76, 46,329.30 and 12,148.47 is: 18,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.76 : 46,329.30 = 12,148.47 : x
  2. Step 2: Convert to fraction form
    30,878.76/46,329.30 = 12,148.47/x
  3. Step 3: Cross multiply
    30,878.76x = 46,329.30 × 12,148.47
  4. Step 4: Simplify right side
    30,878.76x = 562,830,111.17
  5. Step 5: Solve for x
    x = 562,830,111.17/30,878.76
  6. Step 6: Final answer
    x = 18,227.10

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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.