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Finding the Fourth Proportional to 1,761.55, 2,430.93 and 975.59

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Solution

The fourth proportional to 1,761.55, 2,430.93 and 975.59 is: 1,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.55 : 2,430.93 = 975.59 : x
  2. Step 2: Convert to fraction form
    1,761.55/2,430.93 = 975.59/x
  3. Step 3: Cross multiply
    1,761.55x = 2,430.93 × 975.59
  4. Step 4: Simplify right side
    1,761.55x = 2,371,605.29
  5. Step 5: Solve for x
    x = 2,371,605.29/1,761.55
  6. Step 6: Final answer
    x = 1,346.32

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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.