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Finding the Fourth Proportional to 12,030.65, 16,603.14 and 7,838.90

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Solution

The fourth proportional to 12,030.65, 16,603.14 and 7,838.90 is: 10,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.65 : 16,603.14 = 7,838.90 : x
  2. Step 2: Convert to fraction form
    12,030.65/16,603.14 = 7,838.90/x
  3. Step 3: Cross multiply
    12,030.65x = 16,603.14 × 7,838.90
  4. Step 4: Simplify right side
    12,030.65x = 130,150,271.13
  5. Step 5: Solve for x
    x = 130,150,271.13/12,030.65
  6. Step 6: Final answer
    x = 10,818.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.