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Finding the Fourth Proportional to 10,455.40, 15,678.06 and 6,074.11

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Solution

The fourth proportional to 10,455.40, 15,678.06 and 6,074.11 is: 9,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.40 : 15,678.06 = 6,074.11 : x
  2. Step 2: Convert to fraction form
    10,455.40/15,678.06 = 6,074.11/x
  3. Step 3: Cross multiply
    10,455.40x = 15,678.06 × 6,074.11
  4. Step 4: Simplify right side
    10,455.40x = 95,230,261.03
  5. Step 5: Solve for x
    x = 95,230,261.03/10,455.40
  6. Step 6: Final answer
    x = 9,108.24

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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.