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Finding the Fourth Proportional to 30,497, 45,698.24 and 21,155.18

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Solution

The fourth proportional to 30,497, 45,698.24 and 21,155.18 is: 31,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497 : 45,698.24 = 21,155.18 : x
  2. Step 2: Convert to fraction form
    30,497/45,698.24 = 21,155.18/x
  3. Step 3: Cross multiply
    30,497x = 45,698.24 × 21,155.18
  4. Step 4: Simplify right side
    30,497x = 966,754,492.88
  5. Step 5: Solve for x
    x = 966,754,492.88/30,497
  6. Step 6: Final answer
    x = 31,699.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.