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Finding the Fourth Proportional to 14,159.76, 19,541.16 and 7,872

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Solution

The fourth proportional to 14,159.76, 19,541.16 and 7,872 is: 10,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.76 : 19,541.16 = 7,872 : x
  2. Step 2: Convert to fraction form
    14,159.76/19,541.16 = 7,872/x
  3. Step 3: Cross multiply
    14,159.76x = 19,541.16 × 7,872
  4. Step 4: Simplify right side
    14,159.76x = 153,828,011.52
  5. Step 5: Solve for x
    x = 153,828,011.52/14,159.76
  6. Step 6: Final answer
    x = 10,863.74

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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.