Home / 2,077.48-2,864.64-1,412.98

Finding the Fourth Proportional to 2,077.48, 2,864.64 and 1,412.98

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Solution

The fourth proportional to 2,077.48, 2,864.64 and 1,412.98 is: 1,948.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.48 : 2,864.64 = 1,412.98 : x
  2. Step 2: Convert to fraction form
    2,077.48/2,864.64 = 1,412.98/x
  3. Step 3: Cross multiply
    2,077.48x = 2,864.64 × 1,412.98
  4. Step 4: Simplify right side
    2,077.48x = 4,047,679.03
  5. Step 5: Solve for x
    x = 4,047,679.03/2,077.48
  6. Step 6: Final answer
    x = 1,948.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.