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Finding the Fourth Proportional to 10,430.69, 15,646.10 and 3,035.20

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Solution

The fourth proportional to 10,430.69, 15,646.10 and 3,035.20 is: 4,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.69 : 15,646.10 = 3,035.20 : x
  2. Step 2: Convert to fraction form
    10,430.69/15,646.10 = 3,035.20/x
  3. Step 3: Cross multiply
    10,430.69x = 15,646.10 × 3,035.20
  4. Step 4: Simplify right side
    10,430.69x = 47,489,042.72
  5. Step 5: Solve for x
    x = 47,489,042.72/10,430.69
  6. Step 6: Final answer
    x = 4,552.82

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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.