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Finding the Fourth Proportional to 14,387.65, 21,586.65 and 5,030.25

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Solution

The fourth proportional to 14,387.65, 21,586.65 and 5,030.25 is: 7,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387.65 : 21,586.65 = 5,030.25 : x
  2. Step 2: Convert to fraction form
    14,387.65/21,586.65 = 5,030.25/x
  3. Step 3: Cross multiply
    14,387.65x = 21,586.65 × 5,030.25
  4. Step 4: Simplify right side
    14,387.65x = 108,586,296.07
  5. Step 5: Solve for x
    x = 108,586,296.07/14,387.65
  6. Step 6: Final answer
    x = 7,547.19

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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.