Home / 1,547.65-2,135.01-1,024.12

Finding the Fourth Proportional to 1,547.65, 2,135.01 and 1,024.12

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Solution

The fourth proportional to 1,547.65, 2,135.01 and 1,024.12 is: 1,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.65 : 2,135.01 = 1,024.12 : x
  2. Step 2: Convert to fraction form
    1,547.65/2,135.01 = 1,024.12/x
  3. Step 3: Cross multiply
    1,547.65x = 2,135.01 × 1,024.12
  4. Step 4: Simplify right side
    1,547.65x = 2,186,507.19
  5. Step 5: Solve for x
    x = 2,186,507.19/1,547.65
  6. Step 6: Final answer
    x = 1,412.79

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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.