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Finding the Fourth Proportional to 35,642.88, 53,461.20 and 10,688.50

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Solution

The fourth proportional to 35,642.88, 53,461.20 and 10,688.50 is: 16,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.88 : 53,461.20 = 10,688.50 : x
  2. Step 2: Convert to fraction form
    35,642.88/53,461.20 = 10,688.50/x
  3. Step 3: Cross multiply
    35,642.88x = 53,461.20 × 10,688.50
  4. Step 4: Simplify right side
    35,642.88x = 571,420,036.20
  5. Step 5: Solve for x
    x = 571,420,036.20/35,642.88
  6. Step 6: Final answer
    x = 16,031.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.