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Finding the Fourth Proportional to 14,172.71, 19,561.05 and 9,384.21

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Solution

The fourth proportional to 14,172.71, 19,561.05 and 9,384.21 is: 12,952.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172.71 : 19,561.05 = 9,384.21 : x
  2. Step 2: Convert to fraction form
    14,172.71/19,561.05 = 9,384.21/x
  3. Step 3: Cross multiply
    14,172.71x = 19,561.05 × 9,384.21
  4. Step 4: Simplify right side
    14,172.71x = 183,565,001.02
  5. Step 5: Solve for x
    x = 183,565,001.02/14,172.71
  6. Step 6: Final answer
    x = 12,952.00

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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.