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Finding the Fourth Proportional to 30,438, 42,006.06 and 17,866.80

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Solution

The fourth proportional to 30,438, 42,006.06 and 17,866.80 is: 24,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 42,006.06 = 17,866.80 : x
  2. Step 2: Convert to fraction form
    30,438/42,006.06 = 17,866.80/x
  3. Step 3: Cross multiply
    30,438x = 42,006.06 × 17,866.80
  4. Step 4: Simplify right side
    30,438x = 750,513,872.81
  5. Step 5: Solve for x
    x = 750,513,872.81/30,438
  6. Step 6: Final answer
    x = 24,657.13

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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.