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Finding the Fourth Proportional to 15,870.65, 21,900.74 and 9,158.43

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Solution

The fourth proportional to 15,870.65, 21,900.74 and 9,158.43 is: 12,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.65 : 21,900.74 = 9,158.43 : x
  2. Step 2: Convert to fraction form
    15,870.65/21,900.74 = 9,158.43/x
  3. Step 3: Cross multiply
    15,870.65x = 21,900.74 × 9,158.43
  4. Step 4: Simplify right side
    15,870.65x = 200,576,348.45
  5. Step 5: Solve for x
    x = 200,576,348.45/15,870.65
  6. Step 6: Final answer
    x = 12,638.20

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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.