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Finding the Fourth Proportional to 12,320.16, 18,486 and 7,130.40

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Solution

The fourth proportional to 12,320.16, 18,486 and 7,130.40 is: 10,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320.16 : 18,486 = 7,130.40 : x
  2. Step 2: Convert to fraction form
    12,320.16/18,486 = 7,130.40/x
  3. Step 3: Cross multiply
    12,320.16x = 18,486 × 7,130.40
  4. Step 4: Simplify right side
    12,320.16x = 131,812,574.40
  5. Step 5: Solve for x
    x = 131,812,574.40/12,320.16
  6. Step 6: Final answer
    x = 10,698.93

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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.