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Finding the Fourth Proportional to 6,897.54, 9,509.71 and 5,011.86

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Solution

The fourth proportional to 6,897.54, 9,509.71 and 5,011.86 is: 6,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.54 : 9,509.71 = 5,011.86 : x
  2. Step 2: Convert to fraction form
    6,897.54/9,509.71 = 5,011.86/x
  3. Step 3: Cross multiply
    6,897.54x = 9,509.71 × 5,011.86
  4. Step 4: Simplify right side
    6,897.54x = 47,661,335.16
  5. Step 5: Solve for x
    x = 47,661,335.16/6,897.54
  6. Step 6: Final answer
    x = 6,909.90

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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.