Home / 1,538.64-2,124.14-909.36

Finding the Fourth Proportional to 1,538.64, 2,124.14 and 909.36

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Solution

The fourth proportional to 1,538.64, 2,124.14 and 909.36 is: 1,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.64 : 2,124.14 = 909.36 : x
  2. Step 2: Convert to fraction form
    1,538.64/2,124.14 = 909.36/x
  3. Step 3: Cross multiply
    1,538.64x = 2,124.14 × 909.36
  4. Step 4: Simplify right side
    1,538.64x = 1,931,603.40
  5. Step 5: Solve for x
    x = 1,931,603.40/1,538.64
  6. Step 6: Final answer
    x = 1,255.40

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1.5x scale

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.