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Finding the Fourth Proportional to 30,854.84, 46,282.50 and 10,078.40

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Solution

The fourth proportional to 30,854.84, 46,282.50 and 10,078.40 is: 15,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854.84 : 46,282.50 = 10,078.40 : x
  2. Step 2: Convert to fraction form
    30,854.84/46,282.50 = 10,078.40/x
  3. Step 3: Cross multiply
    30,854.84x = 46,282.50 × 10,078.40
  4. Step 4: Simplify right side
    30,854.84x = 466,453,548
  5. Step 5: Solve for x
    x = 466,453,548/30,854.84
  6. Step 6: Final answer
    x = 15,117.68

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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.