Home / 1,538.48-2,307.44-1,098.32

Finding the Fourth Proportional to 1,538.48, 2,307.44 and 1,098.32

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Solution

The fourth proportional to 1,538.48, 2,307.44 and 1,098.32 is: 1,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.48 : 2,307.44 = 1,098.32 : x
  2. Step 2: Convert to fraction form
    1,538.48/2,307.44 = 1,098.32/x
  3. Step 3: Cross multiply
    1,538.48x = 2,307.44 × 1,098.32
  4. Step 4: Simplify right side
    1,538.48x = 2,534,307.50
  5. Step 5: Solve for x
    x = 2,534,307.50/1,538.48
  6. Step 6: Final answer
    x = 1,647.28

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1.5x scale

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.