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Finding the Fourth Proportional to 10,555.76, 15,835.08 and 5,625.20

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Solution

The fourth proportional to 10,555.76, 15,835.08 and 5,625.20 is: 8,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.76 : 15,835.08 = 5,625.20 : x
  2. Step 2: Convert to fraction form
    10,555.76/15,835.08 = 5,625.20/x
  3. Step 3: Cross multiply
    10,555.76x = 15,835.08 × 5,625.20
  4. Step 4: Simplify right side
    10,555.76x = 89,075,492.02
  5. Step 5: Solve for x
    x = 89,075,492.02/10,555.76
  6. Step 6: Final answer
    x = 8,438.57

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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.