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Finding the Fourth Proportional to 30,074.32, 45,111.64 and 7,887.48

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Solution

The fourth proportional to 30,074.32, 45,111.64 and 7,887.48 is: 11,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,074.32 : 45,111.64 = 7,887.48 : x
  2. Step 2: Convert to fraction form
    30,074.32/45,111.64 = 7,887.48/x
  3. Step 3: Cross multiply
    30,074.32x = 45,111.64 × 7,887.48
  4. Step 4: Simplify right side
    30,074.32x = 355,817,158.27
  5. Step 5: Solve for x
    x = 355,817,158.27/30,074.32
  6. Step 6: Final answer
    x = 11,831.26

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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.