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Finding the Fourth Proportional to 30,477.68, 42,064.68 and 17,903.12

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Solution

The fourth proportional to 30,477.68, 42,064.68 and 17,903.12 is: 24,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.68 : 42,064.68 = 17,903.12 : x
  2. Step 2: Convert to fraction form
    30,477.68/42,064.68 = 17,903.12/x
  3. Step 3: Cross multiply
    30,477.68x = 42,064.68 × 17,903.12
  4. Step 4: Simplify right side
    30,477.68x = 753,089,013.80
  5. Step 5: Solve for x
    x = 753,089,013.80/30,477.68
  6. Step 6: Final answer
    x = 24,709.53

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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.