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Finding the Fourth Proportional to 9,569.86, 13,205.51 and 8,864.55

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Solution

The fourth proportional to 9,569.86, 13,205.51 and 8,864.55 is: 12,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.86 : 13,205.51 = 8,864.55 : x
  2. Step 2: Convert to fraction form
    9,569.86/13,205.51 = 8,864.55/x
  3. Step 3: Cross multiply
    9,569.86x = 13,205.51 × 8,864.55
  4. Step 4: Simplify right side
    9,569.86x = 117,060,925.83
  5. Step 5: Solve for x
    x = 117,060,925.83/9,569.86
  6. Step 6: Final answer
    x = 12,232.25

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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.