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Finding the Fourth Proportional to 30,894.40, 46,341.12 and 7,520.64

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Solution

The fourth proportional to 30,894.40, 46,341.12 and 7,520.64 is: 11,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.40 : 46,341.12 = 7,520.64 : x
  2. Step 2: Convert to fraction form
    30,894.40/46,341.12 = 7,520.64/x
  3. Step 3: Cross multiply
    30,894.40x = 46,341.12 × 7,520.64
  4. Step 4: Simplify right side
    30,894.40x = 348,514,880.72
  5. Step 5: Solve for x
    x = 348,514,880.72/30,894.40
  6. Step 6: Final answer
    x = 11,280.84

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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.