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Finding the Fourth Proportional to 12,005.68, 16,565.64 and 6,970.48

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Solution

The fourth proportional to 12,005.68, 16,565.64 and 6,970.48 is: 9,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.68 : 16,565.64 = 6,970.48 : x
  2. Step 2: Convert to fraction form
    12,005.68/16,565.64 = 6,970.48/x
  3. Step 3: Cross multiply
    12,005.68x = 16,565.64 × 6,970.48
  4. Step 4: Simplify right side
    12,005.68x = 115,470,462.31
  5. Step 5: Solve for x
    x = 115,470,462.31/12,005.68
  6. Step 6: Final answer
    x = 9,617.99

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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.