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Finding the Fourth Proportional to 19,802.40, 29,598.24 and 13,970.40

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Solution

The fourth proportional to 19,802.40, 29,598.24 and 13,970.40 is: 20,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.40 : 29,598.24 = 13,970.40 : x
  2. Step 2: Convert to fraction form
    19,802.40/29,598.24 = 13,970.40/x
  3. Step 3: Cross multiply
    19,802.40x = 29,598.24 × 13,970.40
  4. Step 4: Simplify right side
    19,802.40x = 413,499,252.10
  5. Step 5: Solve for x
    x = 413,499,252.10/19,802.40
  6. Step 6: Final answer
    x = 20,881.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.