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Finding the Fourth Proportional to 8,242.42, 12,428.29 and 7,553.50

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Solution

The fourth proportional to 8,242.42, 12,428.29 and 7,553.50 is: 11,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.42 : 12,428.29 = 7,553.50 : x
  2. Step 2: Convert to fraction form
    8,242.42/12,428.29 = 7,553.50/x
  3. Step 3: Cross multiply
    8,242.42x = 12,428.29 × 7,553.50
  4. Step 4: Simplify right side
    8,242.42x = 93,877,088.52
  5. Step 5: Solve for x
    x = 93,877,088.52/8,242.42
  6. Step 6: Final answer
    x = 11,389.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.