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Finding the Fourth Proportional to 8,742.34, 13,124.51 and 7,008.96

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Solution

The fourth proportional to 8,742.34, 13,124.51 and 7,008.96 is: 10,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.34 : 13,124.51 = 7,008.96 : x
  2. Step 2: Convert to fraction form
    8,742.34/13,124.51 = 7,008.96/x
  3. Step 3: Cross multiply
    8,742.34x = 13,124.51 × 7,008.96
  4. Step 4: Simplify right side
    8,742.34x = 91,989,075.61
  5. Step 5: Solve for x
    x = 91,989,075.61/8,742.34
  6. Step 6: Final answer
    x = 10,522.25

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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.