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Finding the Fourth Proportional to 10,920.54, 15,050.33 and 7,931.16

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Solution

The fourth proportional to 10,920.54, 15,050.33 and 7,931.16 is: 10,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.54 : 15,050.33 = 7,931.16 : x
  2. Step 2: Convert to fraction form
    10,920.54/15,050.33 = 7,931.16/x
  3. Step 3: Cross multiply
    10,920.54x = 15,050.33 × 7,931.16
  4. Step 4: Simplify right side
    10,920.54x = 119,366,573.25
  5. Step 5: Solve for x
    x = 119,366,573.25/10,920.54
  6. Step 6: Final answer
    x = 10,930.47

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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.