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Finding the Fourth Proportional to 10,405.68, 15,599.88 and 7,114.20

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Solution

The fourth proportional to 10,405.68, 15,599.88 and 7,114.20 is: 10,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.68 : 15,599.88 = 7,114.20 : x
  2. Step 2: Convert to fraction form
    10,405.68/15,599.88 = 7,114.20/x
  3. Step 3: Cross multiply
    10,405.68x = 15,599.88 × 7,114.20
  4. Step 4: Simplify right side
    10,405.68x = 110,980,666.30
  5. Step 5: Solve for x
    x = 110,980,666.30/10,405.68
  6. Step 6: Final answer
    x = 10,665.39

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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.