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Finding the Fourth Proportional to 30,642, 42,303.24 and 23,177.04

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Solution

The fourth proportional to 30,642, 42,303.24 and 23,177.04 is: 31,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642 : 42,303.24 = 23,177.04 : x
  2. Step 2: Convert to fraction form
    30,642/42,303.24 = 23,177.04/x
  3. Step 3: Cross multiply
    30,642x = 42,303.24 × 23,177.04
  4. Step 4: Simplify right side
    30,642x = 980,463,885.61
  5. Step 5: Solve for x
    x = 980,463,885.61/30,642
  6. Step 6: Final answer
    x = 31,997.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.