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Finding the Fourth Proportional to 30,140.54, 45,212.98 and 7,953.66

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Solution

The fourth proportional to 30,140.54, 45,212.98 and 7,953.66 is: 11,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140.54 : 45,212.98 = 7,953.66 : x
  2. Step 2: Convert to fraction form
    30,140.54/45,212.98 = 7,953.66/x
  3. Step 3: Cross multiply
    30,140.54x = 45,212.98 × 7,953.66
  4. Step 4: Simplify right side
    30,140.54x = 359,608,670.51
  5. Step 5: Solve for x
    x = 359,608,670.51/30,140.54
  6. Step 6: Final answer
    x = 11,931.06

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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.