Home / 1,580.40-2,368.26-1,407.40

Finding the Fourth Proportional to 1,580.40, 2,368.26 and 1,407.40

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Solution

The fourth proportional to 1,580.40, 2,368.26 and 1,407.40 is: 2,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.40 : 2,368.26 = 1,407.40 : x
  2. Step 2: Convert to fraction form
    1,580.40/2,368.26 = 1,407.40/x
  3. Step 3: Cross multiply
    1,580.40x = 2,368.26 × 1,407.40
  4. Step 4: Simplify right side
    1,580.40x = 3,333,083.20
  5. Step 5: Solve for x
    x = 3,333,083.20/1,580.40
  6. Step 6: Final answer
    x = 2,109.01

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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.