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Finding the Fourth Proportional to 19,368, 29,053.62 and 7,681.32

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Solution

The fourth proportional to 19,368, 29,053.62 and 7,681.32 is: 11,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,368 : 29,053.62 = 7,681.32 : x
  2. Step 2: Convert to fraction form
    19,368/29,053.62 = 7,681.32/x
  3. Step 3: Cross multiply
    19,368x = 29,053.62 × 7,681.32
  4. Step 4: Simplify right side
    19,368x = 223,170,152.38
  5. Step 5: Solve for x
    x = 223,170,152.38/19,368
  6. Step 6: Final answer
    x = 11,522.62

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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.