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Finding the Fourth Proportional to 2,430.01, 3,645.03 and 870.07

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Solution

The fourth proportional to 2,430.01, 3,645.03 and 870.07 is: 1,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.01 : 3,645.03 = 870.07 : x
  2. Step 2: Convert to fraction form
    2,430.01/3,645.03 = 870.07/x
  3. Step 3: Cross multiply
    2,430.01x = 3,645.03 × 870.07
  4. Step 4: Simplify right side
    2,430.01x = 3,171,431.25
  5. Step 5: Solve for x
    x = 3,171,431.25/2,430.01
  6. Step 6: Final answer
    x = 1,305.11

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1.5x scale

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.