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Finding the Fourth Proportional to 10,386.04, 15,583.74 and 5,643.64

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Solution

The fourth proportional to 10,386.04, 15,583.74 and 5,643.64 is: 8,468.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.04 : 15,583.74 = 5,643.64 : x
  2. Step 2: Convert to fraction form
    10,386.04/15,583.74 = 5,643.64/x
  3. Step 3: Cross multiply
    10,386.04x = 15,583.74 × 5,643.64
  4. Step 4: Simplify right side
    10,386.04x = 87,949,018.41
  5. Step 5: Solve for x
    x = 87,949,018.41/10,386.04
  6. Step 6: Final answer
    x = 8,468.00

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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.