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Finding the Fourth Proportional to 30,804.81, 42,509.10 and 18,056.22

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Solution

The fourth proportional to 30,804.81, 42,509.10 and 18,056.22 is: 24,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.81 : 42,509.10 = 18,056.22 : x
  2. Step 2: Convert to fraction form
    30,804.81/42,509.10 = 18,056.22/x
  3. Step 3: Cross multiply
    30,804.81x = 42,509.10 × 18,056.22
  4. Step 4: Simplify right side
    30,804.81x = 767,553,569.90
  5. Step 5: Solve for x
    x = 767,553,569.90/30,804.81
  6. Step 6: Final answer
    x = 24,916.68

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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.