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Finding the Fourth Proportional to 19,802.13, 29,700.71 and 6,474.01

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Solution

The fourth proportional to 19,802.13, 29,700.71 and 6,474.01 is: 9,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.13 : 29,700.71 = 6,474.01 : x
  2. Step 2: Convert to fraction form
    19,802.13/29,700.71 = 6,474.01/x
  3. Step 3: Cross multiply
    19,802.13x = 29,700.71 × 6,474.01
  4. Step 4: Simplify right side
    19,802.13x = 192,282,545.04
  5. Step 5: Solve for x
    x = 192,282,545.04/19,802.13
  6. Step 6: Final answer
    x = 9,710.20

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1.5x scale

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.