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Finding the Fourth Proportional to 10,465.78, 15,700.08 and 3,070.78

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Solution

The fourth proportional to 10,465.78, 15,700.08 and 3,070.78 is: 4,606.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.78 : 15,700.08 = 3,070.78 : x
  2. Step 2: Convert to fraction form
    10,465.78/15,700.08 = 3,070.78/x
  3. Step 3: Cross multiply
    10,465.78x = 15,700.08 × 3,070.78
  4. Step 4: Simplify right side
    10,465.78x = 48,211,491.66
  5. Step 5: Solve for x
    x = 48,211,491.66/10,465.78
  6. Step 6: Final answer
    x = 4,606.58

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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.