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Finding the Fourth Proportional to 15,152.77, 20,920.17 and 9,779.94

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Solution

The fourth proportional to 15,152.77, 20,920.17 and 9,779.94 is: 13,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.77 : 20,920.17 = 9,779.94 : x
  2. Step 2: Convert to fraction form
    15,152.77/20,920.17 = 9,779.94/x
  3. Step 3: Cross multiply
    15,152.77x = 20,920.17 × 9,779.94
  4. Step 4: Simplify right side
    15,152.77x = 204,598,044.06
  5. Step 5: Solve for x
    x = 204,598,044.06/15,152.77
  6. Step 6: Final answer
    x = 13,502.35

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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.