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Finding the Fourth Proportional to 13,130, 19,700.76 and 7,658

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Solution

The fourth proportional to 13,130, 19,700.76 and 7,658 is: 11,490.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130 : 19,700.76 = 7,658 : x
  2. Step 2: Convert to fraction form
    13,130/19,700.76 = 7,658/x
  3. Step 3: Cross multiply
    13,130x = 19,700.76 × 7,658
  4. Step 4: Simplify right side
    13,130x = 150,868,420.08
  5. Step 5: Solve for x
    x = 150,868,420.08/13,130
  6. Step 6: Final answer
    x = 11,490.36

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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.