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Finding the Fourth Proportional to 30,920.54, 46,384.65 and 9,854.87

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Solution

The fourth proportional to 30,920.54, 46,384.65 and 9,854.87 is: 14,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.54 : 46,384.65 = 9,854.87 : x
  2. Step 2: Convert to fraction form
    30,920.54/46,384.65 = 9,854.87/x
  3. Step 3: Cross multiply
    30,920.54x = 46,384.65 × 9,854.87
  4. Step 4: Simplify right side
    30,920.54x = 457,114,463.82
  5. Step 5: Solve for x
    x = 457,114,463.82/30,920.54
  6. Step 6: Final answer
    x = 14,783.52

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1.5x scale

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.