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Finding the Fourth Proportional to 10,491.51, 14,477.97 and 5,775.76

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Solution

The fourth proportional to 10,491.51, 14,477.97 and 5,775.76 is: 7,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.51 : 14,477.97 = 5,775.76 : x
  2. Step 2: Convert to fraction form
    10,491.51/14,477.97 = 5,775.76/x
  3. Step 3: Cross multiply
    10,491.51x = 14,477.97 × 5,775.76
  4. Step 4: Simplify right side
    10,491.51x = 83,621,280.01
  5. Step 5: Solve for x
    x = 83,621,280.01/10,491.51
  6. Step 6: Final answer
    x = 7,970.38

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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.