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Finding the Fourth Proportional to 30,946.36, 46,420.48 and 7,572.84

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Solution

The fourth proportional to 30,946.36, 46,420.48 and 7,572.84 is: 11,359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.36 : 46,420.48 = 7,572.84 : x
  2. Step 2: Convert to fraction form
    30,946.36/46,420.48 = 7,572.84/x
  3. Step 3: Cross multiply
    30,946.36x = 46,420.48 × 7,572.84
  4. Step 4: Simplify right side
    30,946.36x = 351,534,867.76
  5. Step 5: Solve for x
    x = 351,534,867.76/30,946.36
  6. Step 6: Final answer
    x = 11,359.49

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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.