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Finding the Fourth Proportional to 1,560.98, 2,341.47 and 987.50

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Solution

The fourth proportional to 1,560.98, 2,341.47 and 987.50 is: 1,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.98 : 2,341.47 = 987.50 : x
  2. Step 2: Convert to fraction form
    1,560.98/2,341.47 = 987.50/x
  3. Step 3: Cross multiply
    1,560.98x = 2,341.47 × 987.50
  4. Step 4: Simplify right side
    1,560.98x = 2,312,184.98
  5. Step 5: Solve for x
    x = 2,312,184.98/1,560.98
  6. Step 6: Final answer
    x = 1,481.24

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1.5x scale

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.