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Finding the Fourth Proportional to 30,417.84, 41,975.28 and 16,989.84

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Solution

The fourth proportional to 30,417.84, 41,975.28 and 16,989.84 is: 23,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417.84 : 41,975.28 = 16,989.84 : x
  2. Step 2: Convert to fraction form
    30,417.84/41,975.28 = 16,989.84/x
  3. Step 3: Cross multiply
    30,417.84x = 41,975.28 × 16,989.84
  4. Step 4: Simplify right side
    30,417.84x = 713,153,291.16
  5. Step 5: Solve for x
    x = 713,153,291.16/30,417.84
  6. Step 6: Final answer
    x = 23,445.23

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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.