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Finding the Fourth Proportional to 2,430.59, 3,645.71 and 970.07

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Solution

The fourth proportional to 2,430.59, 3,645.71 and 970.07 is: 1,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.59 : 3,645.71 = 970.07 : x
  2. Step 2: Convert to fraction form
    2,430.59/3,645.71 = 970.07/x
  3. Step 3: Cross multiply
    2,430.59x = 3,645.71 × 970.07
  4. Step 4: Simplify right side
    2,430.59x = 3,536,589.05
  5. Step 5: Solve for x
    x = 3,536,589.05/2,430.59
  6. Step 6: Final answer
    x = 1,455.03

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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.