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Finding the Fourth Proportional to 10,866.94, 15,005.57 and 6,895.10

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Solution

The fourth proportional to 10,866.94, 15,005.57 and 6,895.10 is: 9,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.94 : 15,005.57 = 6,895.10 : x
  2. Step 2: Convert to fraction form
    10,866.94/15,005.57 = 6,895.10/x
  3. Step 3: Cross multiply
    10,866.94x = 15,005.57 × 6,895.10
  4. Step 4: Simplify right side
    10,866.94x = 103,464,905.71
  5. Step 5: Solve for x
    x = 103,464,905.71/10,866.94
  6. Step 6: Final answer
    x = 9,521.07

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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.