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Finding the Fourth Proportional to 21,730.80, 32,570.88 and 10,019.40

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Solution

The fourth proportional to 21,730.80, 32,570.88 and 10,019.40 is: 15,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.80 : 32,570.88 = 10,019.40 : x
  2. Step 2: Convert to fraction form
    21,730.80/32,570.88 = 10,019.40/x
  3. Step 3: Cross multiply
    21,730.80x = 32,570.88 × 10,019.40
  4. Step 4: Simplify right side
    21,730.80x = 326,340,675.07
  5. Step 5: Solve for x
    x = 326,340,675.07/21,730.80
  6. Step 6: Final answer
    x = 15,017.43

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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.