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Finding the Fourth Proportional to 3,985,709.10, 5,978,563.65 and 1,461,036.30

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Solution

The fourth proportional to 3,985,709.10, 5,978,563.65 and 1,461,036.30 is: 2,191,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985,709.10 : 5,978,563.65 = 1,461,036.30 : x
  2. Step 2: Convert to fraction form
    3,985,709.10/5,978,563.65 = 1,461,036.30/x
  3. Step 3: Cross multiply
    3,985,709.10x = 5,978,563.65 × 1,461,036.30
  4. Step 4: Simplify right side
    3,985,709.10x = 8,734,898,514,510.50
  5. Step 5: Solve for x
    x = 8,734,898,514,510.50/3,985,709.10
  6. Step 6: Final answer
    x = 2,191,554.45

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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.