Home / 1,430.14-1,971.48-1,009.12

Finding the Fourth Proportional to 1,430.14, 1,971.48 and 1,009.12

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Solution

The fourth proportional to 1,430.14, 1,971.48 and 1,009.12 is: 1,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.14 : 1,971.48 = 1,009.12 : x
  2. Step 2: Convert to fraction form
    1,430.14/1,971.48 = 1,009.12/x
  3. Step 3: Cross multiply
    1,430.14x = 1,971.48 × 1,009.12
  4. Step 4: Simplify right side
    1,430.14x = 1,989,459.90
  5. Step 5: Solve for x
    x = 1,989,459.90/1,430.14
  6. Step 6: Final answer
    x = 1,391.09

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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.