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Finding the Fourth Proportional to 10,356, 15,495.12 and 6,442.08

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Solution

The fourth proportional to 10,356, 15,495.12 and 6,442.08 is: 9,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356 : 15,495.12 = 6,442.08 : x
  2. Step 2: Convert to fraction form
    10,356/15,495.12 = 6,442.08/x
  3. Step 3: Cross multiply
    10,356x = 15,495.12 × 6,442.08
  4. Step 4: Simplify right side
    10,356x = 99,820,802.65
  5. Step 5: Solve for x
    x = 99,820,802.65/10,356
  6. Step 6: Final answer
    x = 9,638.93

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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.