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Finding the Fourth Proportional to 34,689.80, 47,870.90 and 19,583

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Solution

The fourth proportional to 34,689.80, 47,870.90 and 19,583 is: 27,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,689.80 : 47,870.90 = 19,583 : x
  2. Step 2: Convert to fraction form
    34,689.80/47,870.90 = 19,583/x
  3. Step 3: Cross multiply
    34,689.80x = 47,870.90 × 19,583
  4. Step 4: Simplify right side
    34,689.80x = 937,455,834.70
  5. Step 5: Solve for x
    x = 937,455,834.70/34,689.80
  6. Step 6: Final answer
    x = 27,023.96

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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.