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Finding the Fourth Proportional to 30,866.40, 42,566.40 and 22,424.40

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Solution

The fourth proportional to 30,866.40, 42,566.40 and 22,424.40 is: 30,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.40 : 42,566.40 = 22,424.40 : x
  2. Step 2: Convert to fraction form
    30,866.40/42,566.40 = 22,424.40/x
  3. Step 3: Cross multiply
    30,866.40x = 42,566.40 × 22,424.40
  4. Step 4: Simplify right side
    30,866.40x = 954,525,980.16
  5. Step 5: Solve for x
    x = 954,525,980.16/30,866.40
  6. Step 6: Final answer
    x = 30,924.43

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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.