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Finding the Fourth Proportional to 1,783.68, 2,461.63 and 987.08

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Solution

The fourth proportional to 1,783.68, 2,461.63 and 987.08 is: 1,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.68 : 2,461.63 = 987.08 : x
  2. Step 2: Convert to fraction form
    1,783.68/2,461.63 = 987.08/x
  3. Step 3: Cross multiply
    1,783.68x = 2,461.63 × 987.08
  4. Step 4: Simplify right side
    1,783.68x = 2,429,825.74
  5. Step 5: Solve for x
    x = 2,429,825.74/1,783.68
  6. Step 6: Final answer
    x = 1,362.25

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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.