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Finding the Fourth Proportional to 1,569.98, 2,357.50 and 1,295.48

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Solution

The fourth proportional to 1,569.98, 2,357.50 and 1,295.48 is: 1,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.98 : 2,357.50 = 1,295.48 : x
  2. Step 2: Convert to fraction form
    1,569.98/2,357.50 = 1,295.48/x
  3. Step 3: Cross multiply
    1,569.98x = 2,357.50 × 1,295.48
  4. Step 4: Simplify right side
    1,569.98x = 3,054,094.10
  5. Step 5: Solve for x
    x = 3,054,094.10/1,569.98
  6. Step 6: Final answer
    x = 1,945.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.