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Finding the Fourth Proportional to 1,054.09, 1,569.02 and 1,038.50

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Solution

The fourth proportional to 1,054.09, 1,569.02 and 1,038.50 is: 1,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.09 : 1,569.02 = 1,038.50 : x
  2. Step 2: Convert to fraction form
    1,054.09/1,569.02 = 1,038.50/x
  3. Step 3: Cross multiply
    1,054.09x = 1,569.02 × 1,038.50
  4. Step 4: Simplify right side
    1,054.09x = 1,629,427.27
  5. Step 5: Solve for x
    x = 1,629,427.27/1,054.09
  6. Step 6: Final answer
    x = 1,545.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.