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Finding the Fourth Proportional to 21,706.56, 32,545.08 and 10,013.40

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Solution

The fourth proportional to 21,706.56, 32,545.08 and 10,013.40 is: 15,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.56 : 32,545.08 = 10,013.40 : x
  2. Step 2: Convert to fraction form
    21,706.56/32,545.08 = 10,013.40/x
  3. Step 3: Cross multiply
    21,706.56x = 32,545.08 × 10,013.40
  4. Step 4: Simplify right side
    21,706.56x = 325,886,904.07
  5. Step 5: Solve for x
    x = 325,886,904.07/21,706.56
  6. Step 6: Final answer
    x = 15,013.29

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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.