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Finding the Fourth Proportional to 11,520.72, 15,897.06 and 6,484.74

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Solution

The fourth proportional to 11,520.72, 15,897.06 and 6,484.74 is: 8,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.72 : 15,897.06 = 6,484.74 : x
  2. Step 2: Convert to fraction form
    11,520.72/15,897.06 = 6,484.74/x
  3. Step 3: Cross multiply
    11,520.72x = 15,897.06 × 6,484.74
  4. Step 4: Simplify right side
    11,520.72x = 103,088,300.86
  5. Step 5: Solve for x
    x = 103,088,300.86/11,520.72
  6. Step 6: Final answer
    x = 8,948.08

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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.