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Finding the Fourth Proportional to 35,608, 53,420.64 and 10,984

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Solution

The fourth proportional to 35,608, 53,420.64 and 10,984 is: 16,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,608 : 53,420.64 = 10,984 : x
  2. Step 2: Convert to fraction form
    35,608/53,420.64 = 10,984/x
  3. Step 3: Cross multiply
    35,608x = 53,420.64 × 10,984
  4. Step 4: Simplify right side
    35,608x = 586,772,309.76
  5. Step 5: Solve for x
    x = 586,772,309.76/35,608
  6. Step 6: Final answer
    x = 16,478.67

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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.