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Finding the Fourth Proportional to 14,271.63, 19,695.40 and 7,984.01

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Solution

The fourth proportional to 14,271.63, 19,695.40 and 7,984.01 is: 11,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.63 : 19,695.40 = 7,984.01 : x
  2. Step 2: Convert to fraction form
    14,271.63/19,695.40 = 7,984.01/x
  3. Step 3: Cross multiply
    14,271.63x = 19,695.40 × 7,984.01
  4. Step 4: Simplify right side
    14,271.63x = 157,248,152.12
  5. Step 5: Solve for x
    x = 157,248,152.12/14,271.63
  6. Step 6: Final answer
    x = 11,018.23

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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.