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Finding the Fourth Proportional to 35,649.10, 53,485.80 and 10,689.76

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Solution

The fourth proportional to 35,649.10, 53,485.80 and 10,689.76 is: 16,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,649.10 : 53,485.80 = 10,689.76 : x
  2. Step 2: Convert to fraction form
    35,649.10/53,485.80 = 10,689.76/x
  3. Step 3: Cross multiply
    35,649.10x = 53,485.80 × 10,689.76
  4. Step 4: Simplify right side
    35,649.10x = 571,750,365.41
  5. Step 5: Solve for x
    x = 571,750,365.41/35,649.10
  6. Step 6: Final answer
    x = 16,038.28

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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.