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Finding the Fourth Proportional to 14,649.68, 21,970.03 and 5,288.55

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Solution

The fourth proportional to 14,649.68, 21,970.03 and 5,288.55 is: 7,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.68 : 21,970.03 = 5,288.55 : x
  2. Step 2: Convert to fraction form
    14,649.68/21,970.03 = 5,288.55/x
  3. Step 3: Cross multiply
    14,649.68x = 21,970.03 × 5,288.55
  4. Step 4: Simplify right side
    14,649.68x = 116,189,602.16
  5. Step 5: Solve for x
    x = 116,189,602.16/14,649.68
  6. Step 6: Final answer
    x = 7,931.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.