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Finding the Fourth Proportional to 1,438.77, 1,987.50 and 1,111.32

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Solution

The fourth proportional to 1,438.77, 1,987.50 and 1,111.32 is: 1,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.77 : 1,987.50 = 1,111.32 : x
  2. Step 2: Convert to fraction form
    1,438.77/1,987.50 = 1,111.32/x
  3. Step 3: Cross multiply
    1,438.77x = 1,987.50 × 1,111.32
  4. Step 4: Simplify right side
    1,438.77x = 2,208,748.50
  5. Step 5: Solve for x
    x = 2,208,748.50/1,438.77
  6. Step 6: Final answer
    x = 1,535.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.